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Finding the Fourth Proportional to 580,762.56, 871,169.76 and 181,411.20

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Solution

The fourth proportional to 580,762.56, 871,169.76 and 181,411.20 is: 272,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,762.56 : 871,169.76 = 181,411.20 : x
  2. Step 2: Convert to fraction form
    580,762.56/871,169.76 = 181,411.20/x
  3. Step 3: Cross multiply
    580,762.56x = 871,169.76 × 181,411.20
  4. Step 4: Simplify right side
    580,762.56x = 158,039,951,565.31
  5. Step 5: Solve for x
    x = 158,039,951,565.31/580,762.56
  6. Step 6: Final answer
    x = 272,124.90

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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.