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Finding the Fourth Proportional to 542,807.72, 813,122.94 and 276,557.48

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Solution

The fourth proportional to 542,807.72, 813,122.94 and 276,557.48 is: 414,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,807.72 : 813,122.94 = 276,557.48 : x
  2. Step 2: Convert to fraction form
    542,807.72/813,122.94 = 276,557.48/x
  3. Step 3: Cross multiply
    542,807.72x = 813,122.94 × 276,557.48
  4. Step 4: Simplify right side
    542,807.72x = 224,875,231,216.59
  5. Step 5: Solve for x
    x = 224,875,231,216.59/542,807.72
  6. Step 6: Final answer
    x = 414,281.56

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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.