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Finding the Fourth Proportional to 253,304.30, 380,391.12 and 224,905.43

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Solution

The fourth proportional to 253,304.30, 380,391.12 and 224,905.43 is: 337,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,304.30 : 380,391.12 = 224,905.43 : x
  2. Step 2: Convert to fraction form
    253,304.30/380,391.12 = 224,905.43/x
  3. Step 3: Cross multiply
    253,304.30x = 380,391.12 × 224,905.43
  4. Step 4: Simplify right side
    253,304.30x = 85,552,029,362.76
  5. Step 5: Solve for x
    x = 85,552,029,362.76/253,304.30
  6. Step 6: Final answer
    x = 337,744.08

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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.