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Finding the Fourth Proportional to 413,098.31, 569,620.32 and 285,552.47

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Solution

The fourth proportional to 413,098.31, 569,620.32 and 285,552.47 is: 393,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098.31 : 569,620.32 = 285,552.47 : x
  2. Step 2: Convert to fraction form
    413,098.31/569,620.32 = 285,552.47/x
  3. Step 3: Cross multiply
    413,098.31x = 569,620.32 × 285,552.47
  4. Step 4: Simplify right side
    413,098.31x = 162,656,486,490.09
  5. Step 5: Solve for x
    x = 162,656,486,490.09/413,098.31
  6. Step 6: Final answer
    x = 393,747.65

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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.