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Finding the Fourth Proportional to 514,449.20, 771,713.70 and 154,591.94

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Solution

The fourth proportional to 514,449.20, 771,713.70 and 154,591.94 is: 231,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,449.20 : 771,713.70 = 154,591.94 : x
  2. Step 2: Convert to fraction form
    514,449.20/771,713.70 = 154,591.94/x
  3. Step 3: Cross multiply
    514,449.20x = 771,713.70 × 154,591.94
  4. Step 4: Simplify right side
    514,449.20x = 119,300,714,149.01
  5. Step 5: Solve for x
    x = 119,300,714,149.01/514,449.20
  6. Step 6: Final answer
    x = 231,899.89

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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.