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Finding the Fourth Proportional to 413,775.52, 571,002.24 and 232,488.16

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Solution

The fourth proportional to 413,775.52, 571,002.24 and 232,488.16 is: 320,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,775.52 : 571,002.24 = 232,488.16 : x
  2. Step 2: Convert to fraction form
    413,775.52/571,002.24 = 232,488.16/x
  3. Step 3: Cross multiply
    413,775.52x = 571,002.24 × 232,488.16
  4. Step 4: Simplify right side
    413,775.52x = 132,751,260,133.48
  5. Step 5: Solve for x
    x = 132,751,260,133.48/413,775.52
  6. Step 6: Final answer
    x = 320,829.18

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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.