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Finding the Fourth Proportional to 514,297.92, 771,385.46 and 135,248.19

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Solution

The fourth proportional to 514,297.92, 771,385.46 and 135,248.19 is: 202,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,297.92 : 771,385.46 = 135,248.19 : x
  2. Step 2: Convert to fraction form
    514,297.92/771,385.46 = 135,248.19/x
  3. Step 3: Cross multiply
    514,297.92x = 771,385.46 × 135,248.19
  4. Step 4: Simplify right side
    514,297.92x = 104,328,486,581.08
  5. Step 5: Solve for x
    x = 104,328,486,581.08/514,297.92
  6. Step 6: Final answer
    x = 202,856.13

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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.