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Finding the Fourth Proportional to 460,432.66, 690,125.26 and 280,120.62

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Solution

The fourth proportional to 460,432.66, 690,125.26 and 280,120.62 is: 419,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,432.66 : 690,125.26 = 280,120.62 : x
  2. Step 2: Convert to fraction form
    460,432.66/690,125.26 = 280,120.62/x
  3. Step 3: Cross multiply
    460,432.66x = 690,125.26 × 280,120.62
  4. Step 4: Simplify right side
    460,432.66x = 193,318,312,258.24
  5. Step 5: Solve for x
    x = 193,318,312,258.24/460,432.66
  6. Step 6: Final answer
    x = 419,862.29

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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.