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Finding the Fourth Proportional to 514,406.46, 771,327.81 and 159,321.90

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Solution

The fourth proportional to 514,406.46, 771,327.81 and 159,321.90 is: 238,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,406.46 : 771,327.81 = 159,321.90 : x
  2. Step 2: Convert to fraction form
    514,406.46/771,327.81 = 159,321.90/x
  3. Step 3: Cross multiply
    514,406.46x = 771,327.81 × 159,321.90
  4. Step 4: Simplify right side
    514,406.46x = 122,889,412,212.04
  5. Step 5: Solve for x
    x = 122,889,412,212.04/514,406.46
  6. Step 6: Final answer
    x = 238,895.55

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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.