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Finding the Fourth Proportional to 262,809.60, 394,117.20 and 85,322.40

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Solution

The fourth proportional to 262,809.60, 394,117.20 and 85,322.40 is: 127,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,809.60 : 394,117.20 = 85,322.40 : x
  2. Step 2: Convert to fraction form
    262,809.60/394,117.20 = 85,322.40/x
  3. Step 3: Cross multiply
    262,809.60x = 394,117.20 × 85,322.40
  4. Step 4: Simplify right side
    262,809.60x = 33,627,025,385.28
  5. Step 5: Solve for x
    x = 33,627,025,385.28/262,809.60
  6. Step 6: Final answer
    x = 127,952.04

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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.