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Finding the Fourth Proportional to 356,543.10, 534,814.65 and 277,227.90

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Solution

The fourth proportional to 356,543.10, 534,814.65 and 277,227.90 is: 415,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,543.10 : 534,814.65 = 277,227.90 : x
  2. Step 2: Convert to fraction form
    356,543.10/534,814.65 = 277,227.90/x
  3. Step 3: Cross multiply
    356,543.10x = 534,814.65 × 277,227.90
  4. Step 4: Simplify right side
    356,543.10x = 148,265,542,308.74
  5. Step 5: Solve for x
    x = 148,265,542,308.74/356,543.10
  6. Step 6: Final answer
    x = 415,841.85

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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.