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Finding the Fourth Proportional to 487,295.11, 731,605.83 and 274,213.58

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Solution

The fourth proportional to 487,295.11, 731,605.83 and 274,213.58 is: 411,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,295.11 : 731,605.83 = 274,213.58 : x
  2. Step 2: Convert to fraction form
    487,295.11/731,605.83 = 274,213.58/x
  3. Step 3: Cross multiply
    487,295.11x = 731,605.83 × 274,213.58
  4. Step 4: Simplify right side
    487,295.11x = 200,616,253,793.17
  5. Step 5: Solve for x
    x = 200,616,253,793.17/487,295.11
  6. Step 6: Final answer
    x = 411,693.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.