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Finding the Fourth Proportional to 471,451.60, 707,177.40 and 378,139.60

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Solution

The fourth proportional to 471,451.60, 707,177.40 and 378,139.60 is: 567,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,451.60 : 707,177.40 = 378,139.60 : x
  2. Step 2: Convert to fraction form
    471,451.60/707,177.40 = 378,139.60/x
  3. Step 3: Cross multiply
    471,451.60x = 707,177.40 × 378,139.60
  4. Step 4: Simplify right side
    471,451.60x = 267,411,779,165.04
  5. Step 5: Solve for x
    x = 267,411,779,165.04/471,451.60
  6. Step 6: Final answer
    x = 567,209.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.