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Finding the Fourth Proportional to 541,877.10, 813,276.45 and 242,817.90

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Solution

The fourth proportional to 541,877.10, 813,276.45 and 242,817.90 is: 364,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,877.10 : 813,276.45 = 242,817.90 : x
  2. Step 2: Convert to fraction form
    541,877.10/813,276.45 = 242,817.90/x
  3. Step 3: Cross multiply
    541,877.10x = 813,276.45 × 242,817.90
  4. Step 4: Simplify right side
    541,877.10x = 197,478,079,708.46
  5. Step 5: Solve for x
    x = 197,478,079,708.46/541,877.10
  6. Step 6: Final answer
    x = 364,433.34

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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.