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Finding the Fourth Proportional to 331,712.69, 457,401.76 and 224,095.86

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Solution

The fourth proportional to 331,712.69, 457,401.76 and 224,095.86 is: 309,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,712.69 : 457,401.76 = 224,095.86 : x
  2. Step 2: Convert to fraction form
    331,712.69/457,401.76 = 224,095.86/x
  3. Step 3: Cross multiply
    331,712.69x = 457,401.76 × 224,095.86
  4. Step 4: Simplify right side
    331,712.69x = 102,501,840,212.47
  5. Step 5: Solve for x
    x = 102,501,840,212.47/331,712.69
  6. Step 6: Final answer
    x = 309,007.90

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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.