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Finding the Fourth Proportional to 514,217.48, 769,769.52 and 466,832.48

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Solution

The fourth proportional to 514,217.48, 769,769.52 and 466,832.48 is: 698,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,217.48 : 769,769.52 = 466,832.48 : x
  2. Step 2: Convert to fraction form
    514,217.48/769,769.52 = 466,832.48/x
  3. Step 3: Cross multiply
    514,217.48x = 769,769.52 × 466,832.48
  4. Step 4: Simplify right side
    514,217.48x = 359,353,414,050.01
  5. Step 5: Solve for x
    x = 359,353,414,050.01/514,217.48
  6. Step 6: Final answer
    x = 698,835.47

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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.