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Finding the Fourth Proportional to 386,801.10, 580,201.65 and 280,512.90

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Solution

The fourth proportional to 386,801.10, 580,201.65 and 280,512.90 is: 420,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,801.10 : 580,201.65 = 280,512.90 : x
  2. Step 2: Convert to fraction form
    386,801.10/580,201.65 = 280,512.90/x
  3. Step 3: Cross multiply
    386,801.10x = 580,201.65 × 280,512.90
  4. Step 4: Simplify right side
    386,801.10x = 162,754,047,426.29
  5. Step 5: Solve for x
    x = 162,754,047,426.29/386,801.10
  6. Step 6: Final answer
    x = 420,769.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.