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Finding the Fourth Proportional to 468,414.26, 702,516.26 and 215,451.77

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Solution

The fourth proportional to 468,414.26, 702,516.26 and 215,451.77 is: 323,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,414.26 : 702,516.26 = 215,451.77 : x
  2. Step 2: Convert to fraction form
    468,414.26/702,516.26 = 215,451.77/x
  3. Step 3: Cross multiply
    468,414.26x = 702,516.26 × 215,451.77
  4. Step 4: Simplify right side
    468,414.26x = 151,358,367,484.91
  5. Step 5: Solve for x
    x = 151,358,367,484.91/468,414.26
  6. Step 6: Final answer
    x = 323,129.29

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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.