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Finding the Fourth Proportional to 482,957.28, 723,759.84 and 411,507.36

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Solution

The fourth proportional to 482,957.28, 723,759.84 and 411,507.36 is: 616,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,957.28 : 723,759.84 = 411,507.36 : x
  2. Step 2: Convert to fraction form
    482,957.28/723,759.84 = 411,507.36/x
  3. Step 3: Cross multiply
    482,957.28x = 723,759.84 × 411,507.36
  4. Step 4: Simplify right side
    482,957.28x = 297,832,501,032.42
  5. Step 5: Solve for x
    x = 297,832,501,032.42/482,957.28
  6. Step 6: Final answer
    x = 616,684.98

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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.