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Finding the Fourth Proportional to 567,208.74, 782,753.31 and 312,569.04

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Solution

The fourth proportional to 567,208.74, 782,753.31 and 312,569.04 is: 431,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,208.74 : 782,753.31 = 312,569.04 : x
  2. Step 2: Convert to fraction form
    567,208.74/782,753.31 = 312,569.04/x
  3. Step 3: Cross multiply
    567,208.74x = 782,753.31 × 312,569.04
  4. Step 4: Simplify right side
    567,208.74x = 244,664,450,663.52
  5. Step 5: Solve for x
    x = 244,664,450,663.52/567,208.74
  6. Step 6: Final answer
    x = 431,348.17

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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.