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Finding the Fourth Proportional to 539,641.60, 809,321.40 and 160,460.24

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Solution

The fourth proportional to 539,641.60, 809,321.40 and 160,460.24 is: 240,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,641.60 : 809,321.40 = 160,460.24 : x
  2. Step 2: Convert to fraction form
    539,641.60/809,321.40 = 160,460.24/x
  3. Step 3: Cross multiply
    539,641.60x = 809,321.40 × 160,460.24
  4. Step 4: Simplify right side
    539,641.60x = 129,863,906,081.14
  5. Step 5: Solve for x
    x = 129,863,906,081.14/539,641.60
  6. Step 6: Final answer
    x = 240,648.43

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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.