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Finding the Fourth Proportional to 542,158.02, 813,732.57 and 276,102.18

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Solution

The fourth proportional to 542,158.02, 813,732.57 and 276,102.18 is: 414,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,158.02 : 813,732.57 = 276,102.18 : x
  2. Step 2: Convert to fraction form
    542,158.02/813,732.57 = 276,102.18/x
  3. Step 3: Cross multiply
    542,158.02x = 813,732.57 × 276,102.18
  4. Step 4: Simplify right side
    542,158.02x = 224,673,336,514.00
  5. Step 5: Solve for x
    x = 224,673,336,514.00/542,158.02
  6. Step 6: Final answer
    x = 414,405.63

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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.