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Finding the Fourth Proportional to 521,122.50, 719,149.05 and 282,658.50

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Solution

The fourth proportional to 521,122.50, 719,149.05 and 282,658.50 is: 390,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,122.50 : 719,149.05 = 282,658.50 : x
  2. Step 2: Convert to fraction form
    521,122.50/719,149.05 = 282,658.50/x
  3. Step 3: Cross multiply
    521,122.50x = 719,149.05 × 282,658.50
  4. Step 4: Simplify right side
    521,122.50x = 203,273,591,749.43
  5. Step 5: Solve for x
    x = 203,273,591,749.43/521,122.50
  6. Step 6: Final answer
    x = 390,068.73

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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.