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Finding the Fourth Proportional to 280,505.92, 420,912 and 162,407.92

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Solution

The fourth proportional to 280,505.92, 420,912 and 162,407.92 is: 243,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,505.92 : 420,912 = 162,407.92 : x
  2. Step 2: Convert to fraction form
    280,505.92/420,912 = 162,407.92/x
  3. Step 3: Cross multiply
    280,505.92x = 420,912 × 162,407.92
  4. Step 4: Simplify right side
    280,505.92x = 68,359,442,423.04
  5. Step 5: Solve for x
    x = 68,359,442,423.04/280,505.92
  6. Step 6: Final answer
    x = 243,700.53

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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.