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Finding the Fourth Proportional to 589,098.75, 883,648.14 and 145,866.75

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Solution

The fourth proportional to 589,098.75, 883,648.14 and 145,866.75 is: 218,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,098.75 : 883,648.14 = 145,866.75 : x
  2. Step 2: Convert to fraction form
    589,098.75/883,648.14 = 145,866.75/x
  3. Step 3: Cross multiply
    589,098.75x = 883,648.14 × 145,866.75
  4. Step 4: Simplify right side
    589,098.75x = 128,894,882,325.35
  5. Step 5: Solve for x
    x = 128,894,882,325.35/589,098.75
  6. Step 6: Final answer
    x = 218,800.13

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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.