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Finding the Fourth Proportional to 514,111.92, 769,826.52 and 413,723.76

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Solution

The fourth proportional to 514,111.92, 769,826.52 and 413,723.76 is: 619,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,111.92 : 769,826.52 = 413,723.76 : x
  2. Step 2: Convert to fraction form
    514,111.92/769,826.52 = 413,723.76/x
  3. Step 3: Cross multiply
    514,111.92x = 769,826.52 × 413,723.76
  4. Step 4: Simplify right side
    514,111.92x = 318,495,522,402.12
  5. Step 5: Solve for x
    x = 318,495,522,402.12/514,111.92
  6. Step 6: Final answer
    x = 619,506.20

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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.