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Finding the Fourth Proportional to 413,776.52, 571,003.62 and 232,489.16

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Solution

The fourth proportional to 413,776.52, 571,003.62 and 232,489.16 is: 320,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,776.52 : 571,003.62 = 232,489.16 : x
  2. Step 2: Convert to fraction form
    413,776.52/571,003.62 = 232,489.16/x
  3. Step 3: Cross multiply
    413,776.52x = 571,003.62 × 232,489.16
  4. Step 4: Simplify right side
    413,776.52x = 132,752,151,970.76
  5. Step 5: Solve for x
    x = 132,752,151,970.76/413,776.52
  6. Step 6: Final answer
    x = 320,830.56

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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.