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Finding the Fourth Proportional to 427,498.40, 641,305.20 and 147,101.60

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Solution

The fourth proportional to 427,498.40, 641,305.20 and 147,101.60 is: 220,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,498.40 : 641,305.20 = 147,101.60 : x
  2. Step 2: Convert to fraction form
    427,498.40/641,305.20 = 147,101.60/x
  3. Step 3: Cross multiply
    427,498.40x = 641,305.20 × 147,101.60
  4. Step 4: Simplify right side
    427,498.40x = 94,337,021,008.32
  5. Step 5: Solve for x
    x = 94,337,021,008.32/427,498.40
  6. Step 6: Final answer
    x = 220,672.22

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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.