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Finding the Fourth Proportional to 546,507.61, 814,266.57 and 515,949.75

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Solution

The fourth proportional to 546,507.61, 814,266.57 and 515,949.75 is: 768,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,507.61 : 814,266.57 = 515,949.75 : x
  2. Step 2: Convert to fraction form
    546,507.61/814,266.57 = 515,949.75/x
  3. Step 3: Cross multiply
    546,507.61x = 814,266.57 × 515,949.75
  4. Step 4: Simplify right side
    546,507.61x = 420,120,635,159.67
  5. Step 5: Solve for x
    x = 420,120,635,159.67/546,507.61
  6. Step 6: Final answer
    x = 768,737.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.