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Finding the Fourth Proportional to 586,670.50, 878,517.21 and 491,650.82

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Solution

The fourth proportional to 586,670.50, 878,517.21 and 491,650.82 is: 736,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,670.50 : 878,517.21 = 491,650.82 : x
  2. Step 2: Convert to fraction form
    586,670.50/878,517.21 = 491,650.82/x
  3. Step 3: Cross multiply
    586,670.50x = 878,517.21 × 491,650.82
  4. Step 4: Simplify right side
    586,670.50x = 431,923,702,288.03
  5. Step 5: Solve for x
    x = 431,923,702,288.03/586,670.50
  6. Step 6: Final answer
    x = 736,228.78

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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.