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Finding the Fourth Proportional to 331,711.56, 457,400.21 and 224,094.74

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Solution

The fourth proportional to 331,711.56, 457,400.21 and 224,094.74 is: 309,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,711.56 : 457,400.21 = 224,094.74 : x
  2. Step 2: Convert to fraction form
    331,711.56/457,400.21 = 224,094.74/x
  3. Step 3: Cross multiply
    331,711.56x = 457,400.21 × 224,094.74
  4. Step 4: Simplify right side
    331,711.56x = 102,500,977,728.42
  5. Step 5: Solve for x
    x = 102,500,977,728.42/331,711.56
  6. Step 6: Final answer
    x = 309,006.35

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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.