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Finding the Fourth Proportional to 343,249.68, 514,728.60 and 156,379.92

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Solution

The fourth proportional to 343,249.68, 514,728.60 and 156,379.92 is: 234,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,249.68 : 514,728.60 = 156,379.92 : x
  2. Step 2: Convert to fraction form
    343,249.68/514,728.60 = 156,379.92/x
  3. Step 3: Cross multiply
    343,249.68x = 514,728.60 × 156,379.92
  4. Step 4: Simplify right side
    343,249.68x = 80,493,217,289.71
  5. Step 5: Solve for x
    x = 80,493,217,289.71/343,249.68
  6. Step 6: Final answer
    x = 234,503.40

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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.