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Finding the Fourth Proportional to 514,708.80, 772,068.96 and 215,234.88

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Solution

The fourth proportional to 514,708.80, 772,068.96 and 215,234.88 is: 322,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,708.80 : 772,068.96 = 215,234.88 : x
  2. Step 2: Convert to fraction form
    514,708.80/772,068.96 = 215,234.88/x
  3. Step 3: Cross multiply
    514,708.80x = 772,068.96 × 215,234.88
  4. Step 4: Simplify right side
    514,708.80x = 166,176,169,957.33
  5. Step 5: Solve for x
    x = 166,176,169,957.33/514,708.80
  6. Step 6: Final answer
    x = 322,854.73

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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.