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Finding the Fourth Proportional to 407,598.30, 611,397.45 and 314,286.30

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Solution

The fourth proportional to 407,598.30, 611,397.45 and 314,286.30 is: 471,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,598.30 : 611,397.45 = 314,286.30 : x
  2. Step 2: Convert to fraction form
    407,598.30/611,397.45 = 314,286.30/x
  3. Step 3: Cross multiply
    407,598.30x = 611,397.45 × 314,286.30
  4. Step 4: Simplify right side
    407,598.30x = 192,153,842,389.94
  5. Step 5: Solve for x
    x = 192,153,842,389.94/407,598.30
  6. Step 6: Final answer
    x = 471,429.45

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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.