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Finding the Fourth Proportional to 412,569.52, 569,345.92 and 233,721.52

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Solution

The fourth proportional to 412,569.52, 569,345.92 and 233,721.52 is: 322,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,569.52 : 569,345.92 = 233,721.52 : x
  2. Step 2: Convert to fraction form
    412,569.52/569,345.92 = 233,721.52/x
  3. Step 3: Cross multiply
    412,569.52x = 569,345.92 × 233,721.52
  4. Step 4: Simplify right side
    412,569.52x = 133,068,393,828.20
  5. Step 5: Solve for x
    x = 133,068,393,828.20/412,569.52
  6. Step 6: Final answer
    x = 322,535.69

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