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Finding the Fourth Proportional to 542,063.25, 813,839.64 and 276,002.55

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Solution

The fourth proportional to 542,063.25, 813,839.64 and 276,002.55 is: 414,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,063.25 : 813,839.64 = 276,002.55 : x
  2. Step 2: Convert to fraction form
    542,063.25/813,839.64 = 276,002.55/x
  3. Step 3: Cross multiply
    542,063.25x = 813,839.64 × 276,002.55
  4. Step 4: Simplify right side
    542,063.25x = 224,621,815,931.08
  5. Step 5: Solve for x
    x = 224,621,815,931.08/542,063.25
  6. Step 6: Final answer
    x = 414,383.04

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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.