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Finding the Fourth Proportional to 580,542.17, 869,487.45 and 277,149.74

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Solution

The fourth proportional to 580,542.17, 869,487.45 and 277,149.74 is: 415,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,542.17 : 869,487.45 = 277,149.74 : x
  2. Step 2: Convert to fraction form
    580,542.17/869,487.45 = 277,149.74/x
  3. Step 3: Cross multiply
    580,542.17x = 869,487.45 × 277,149.74
  4. Step 4: Simplify right side
    580,542.17x = 240,978,221,393.64
  5. Step 5: Solve for x
    x = 240,978,221,393.64/580,542.17
  6. Step 6: Final answer
    x = 415,091.67

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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.