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Finding the Fourth Proportional to 589,681.40, 884,522.10 and 146,449.40

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Solution

The fourth proportional to 589,681.40, 884,522.10 and 146,449.40 is: 219,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,681.40 : 884,522.10 = 146,449.40 : x
  2. Step 2: Convert to fraction form
    589,681.40/884,522.10 = 146,449.40/x
  3. Step 3: Cross multiply
    589,681.40x = 884,522.10 × 146,449.40
  4. Step 4: Simplify right side
    589,681.40x = 129,537,730,831.74
  5. Step 5: Solve for x
    x = 129,537,730,831.74/589,681.40
  6. Step 6: Final answer
    x = 219,674.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.