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Finding the Fourth Proportional to 457,728.38, 686,477.68 and 217,694.16

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Solution

The fourth proportional to 457,728.38, 686,477.68 and 217,694.16 is: 326,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,728.38 : 686,477.68 = 217,694.16 : x
  2. Step 2: Convert to fraction form
    457,728.38/686,477.68 = 217,694.16/x
  3. Step 3: Cross multiply
    457,728.38x = 686,477.68 × 217,694.16
  4. Step 4: Simplify right side
    457,728.38x = 149,442,181,906.35
  5. Step 5: Solve for x
    x = 149,442,181,906.35/457,728.38
  6. Step 6: Final answer
    x = 326,486.60

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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.