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Finding the Fourth Proportional to 514,403.46, 771,323.31 and 159,318.90

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Solution

The fourth proportional to 514,403.46, 771,323.31 and 159,318.90 is: 238,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,403.46 : 771,323.31 = 159,318.90 : x
  2. Step 2: Convert to fraction form
    514,403.46/771,323.31 = 159,318.90/x
  3. Step 3: Cross multiply
    514,403.46x = 771,323.31 × 159,318.90
  4. Step 4: Simplify right side
    514,403.46x = 122,886,381,293.56
  5. Step 5: Solve for x
    x = 122,886,381,293.56/514,403.46
  6. Step 6: Final answer
    x = 238,891.05

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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.