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Finding the Fourth Proportional to 514,081.64, 771,306.96 and 229,748.60

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Solution

The fourth proportional to 514,081.64, 771,306.96 and 229,748.60 is: 344,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,081.64 : 771,306.96 = 229,748.60 : x
  2. Step 2: Convert to fraction form
    514,081.64/771,306.96 = 229,748.60/x
  3. Step 3: Cross multiply
    514,081.64x = 771,306.96 × 229,748.60
  4. Step 4: Simplify right side
    514,081.64x = 177,206,694,230.26
  5. Step 5: Solve for x
    x = 177,206,694,230.26/514,081.64
  6. Step 6: Final answer
    x = 344,705.36

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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.