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Finding the Fourth Proportional to 542,061.92, 813,222.06 and 187,079

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Solution

The fourth proportional to 542,061.92, 813,222.06 and 187,079 is: 280,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,061.92 : 813,222.06 = 187,079 : x
  2. Step 2: Convert to fraction form
    542,061.92/813,222.06 = 187,079/x
  3. Step 3: Cross multiply
    542,061.92x = 813,222.06 × 187,079
  4. Step 4: Simplify right side
    542,061.92x = 152,136,769,762.74
  5. Step 5: Solve for x
    x = 152,136,769,762.74/542,061.92
  6. Step 6: Final answer
    x = 280,663.08

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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.