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Finding the Fourth Proportional to 280,462.50, 420,693.75 and 83,470.50

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Solution

The fourth proportional to 280,462.50, 420,693.75 and 83,470.50 is: 125,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,462.50 : 420,693.75 = 83,470.50 : x
  2. Step 2: Convert to fraction form
    280,462.50/420,693.75 = 83,470.50/x
  3. Step 3: Cross multiply
    280,462.50x = 420,693.75 × 83,470.50
  4. Step 4: Simplify right side
    280,462.50x = 35,115,517,659.38
  5. Step 5: Solve for x
    x = 35,115,517,659.38/280,462.50
  6. Step 6: Final answer
    x = 125,205.75

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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.