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Finding the Fourth Proportional to 538,053.02, 737,135.85 and 517,874.30

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Solution

The fourth proportional to 538,053.02, 737,135.85 and 517,874.30 is: 709,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,053.02 : 737,135.85 = 517,874.30 : x
  2. Step 2: Convert to fraction form
    538,053.02/737,135.85 = 517,874.30/x
  3. Step 3: Cross multiply
    538,053.02x = 737,135.85 × 517,874.30
  4. Step 4: Simplify right side
    538,053.02x = 381,743,712,323.66
  5. Step 5: Solve for x
    x = 381,743,712,323.66/538,053.02
  6. Step 6: Final answer
    x = 709,490.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.