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Finding the Fourth Proportional to 442,114.43, 610,118.10 and 260,826.71

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Solution

The fourth proportional to 442,114.43, 610,118.10 and 260,826.71 is: 359,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,114.43 : 610,118.10 = 260,826.71 : x
  2. Step 2: Convert to fraction form
    442,114.43/610,118.10 = 260,826.71/x
  3. Step 3: Cross multiply
    442,114.43x = 610,118.10 × 260,826.71
  4. Step 4: Simplify right side
    442,114.43x = 159,135,093,683.86
  5. Step 5: Solve for x
    x = 159,135,093,683.86/442,114.43
  6. Step 6: Final answer
    x = 359,940.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.