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Finding the Fourth Proportional to 542,360.95, 813,213.27 and 242,785.69

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Solution

The fourth proportional to 542,360.95, 813,213.27 and 242,785.69 is: 364,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,360.95 : 813,213.27 = 242,785.69 : x
  2. Step 2: Convert to fraction form
    542,360.95/813,213.27 = 242,785.69/x
  3. Step 3: Cross multiply
    542,360.95x = 813,213.27 × 242,785.69
  4. Step 4: Simplify right side
    542,360.95x = 197,436,542,841.07
  5. Step 5: Solve for x
    x = 197,436,542,841.07/542,360.95
  6. Step 6: Final answer
    x = 364,031.64

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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.