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Finding the Fourth Proportional to 331,712.78, 457,401.88 and 224,095.96

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Solution

The fourth proportional to 331,712.78, 457,401.88 and 224,095.96 is: 309,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,712.78 : 457,401.88 = 224,095.96 : x
  2. Step 2: Convert to fraction form
    331,712.78/457,401.88 = 224,095.96/x
  3. Step 3: Cross multiply
    331,712.78x = 457,401.88 × 224,095.96
  4. Step 4: Simplify right side
    331,712.78x = 102,501,913,404.41
  5. Step 5: Solve for x
    x = 102,501,913,404.41/331,712.78
  6. Step 6: Final answer
    x = 309,008.03

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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.