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Finding the Fourth Proportional to 318,577.60, 477,866.40 and 284,171.20

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Solution

The fourth proportional to 318,577.60, 477,866.40 and 284,171.20 is: 426,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,577.60 : 477,866.40 = 284,171.20 : x
  2. Step 2: Convert to fraction form
    318,577.60/477,866.40 = 284,171.20/x
  3. Step 3: Cross multiply
    318,577.60x = 477,866.40 × 284,171.20
  4. Step 4: Simplify right side
    318,577.60x = 135,795,868,327.68
  5. Step 5: Solve for x
    x = 135,795,868,327.68/318,577.60
  6. Step 6: Final answer
    x = 426,256.80

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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.