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Finding the Fourth Proportional to 411,390.86, 567,711.87 and 232,542.86

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Solution

The fourth proportional to 411,390.86, 567,711.87 and 232,542.86 is: 320,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,390.86 : 567,711.87 = 232,542.86 : x
  2. Step 2: Convert to fraction form
    411,390.86/567,711.87 = 232,542.86/x
  3. Step 3: Cross multiply
    411,390.86x = 567,711.87 × 232,542.86
  4. Step 4: Simplify right side
    411,390.86x = 132,017,341,905.75
  5. Step 5: Solve for x
    x = 132,017,341,905.75/411,390.86
  6. Step 6: Final answer
    x = 320,904.90

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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.