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Finding the Fourth Proportional to 542,586.96, 813,054.24 and 275,947.92

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Solution

The fourth proportional to 542,586.96, 813,054.24 and 275,947.92 is: 413,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,586.96 : 813,054.24 = 275,947.92 : x
  2. Step 2: Convert to fraction form
    542,586.96/813,054.24 = 275,947.92/x
  3. Step 3: Cross multiply
    542,586.96x = 813,054.24 × 275,947.92
  4. Step 4: Simplify right side
    542,586.96x = 224,360,626,375.18
  5. Step 5: Solve for x
    x = 224,360,626,375.18/542,586.96
  6. Step 6: Final answer
    x = 413,501.69

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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.