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Finding the Fourth Proportional to 411,712, 568,177.92 and 232,860.16

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Solution

The fourth proportional to 411,712, 568,177.92 and 232,860.16 is: 321,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,712 : 568,177.92 = 232,860.16 : x
  2. Step 2: Convert to fraction form
    411,712/568,177.92 = 232,860.16/x
  3. Step 3: Cross multiply
    411,712x = 568,177.92 × 232,860.16
  4. Step 4: Simplify right side
    411,712x = 132,306,001,359.67
  5. Step 5: Solve for x
    x = 132,306,001,359.67/411,712
  6. Step 6: Final answer
    x = 321,355.71

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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.