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Finding the Fourth Proportional to 318,489.60, 477,734.40 and 96,844.80

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Solution

The fourth proportional to 318,489.60, 477,734.40 and 96,844.80 is: 145,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,489.60 : 477,734.40 = 96,844.80 : x
  2. Step 2: Convert to fraction form
    318,489.60/477,734.40 = 96,844.80/x
  3. Step 3: Cross multiply
    318,489.60x = 477,734.40 × 96,844.80
  4. Step 4: Simplify right side
    318,489.60x = 46,266,092,421.12
  5. Step 5: Solve for x
    x = 46,266,092,421.12/318,489.60
  6. Step 6: Final answer
    x = 145,267.20

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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.