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Finding the Fourth Proportional to 475,732.40, 656,541.06 and 314,304.26

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Solution

The fourth proportional to 475,732.40, 656,541.06 and 314,304.26 is: 433,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,732.40 : 656,541.06 = 314,304.26 : x
  2. Step 2: Convert to fraction form
    475,732.40/656,541.06 = 314,304.26/x
  3. Step 3: Cross multiply
    475,732.40x = 656,541.06 × 314,304.26
  4. Step 4: Simplify right side
    475,732.40x = 206,353,652,022.92
  5. Step 5: Solve for x
    x = 206,353,652,022.92/475,732.40
  6. Step 6: Final answer
    x = 433,759.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.