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Finding the Fourth Proportional to 542,902.59, 814,094.64 and 318,331.41

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Solution

The fourth proportional to 542,902.59, 814,094.64 and 318,331.41 is: 477,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,902.59 : 814,094.64 = 318,331.41 : x
  2. Step 2: Convert to fraction form
    542,902.59/814,094.64 = 318,331.41/x
  3. Step 3: Cross multiply
    542,902.59x = 814,094.64 × 318,331.41
  4. Step 4: Simplify right side
    542,902.59x = 259,151,894,624.64
  5. Step 5: Solve for x
    x = 259,151,894,624.64/542,902.59
  6. Step 6: Final answer
    x = 477,345.11

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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.