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Finding the Fourth Proportional to 297,454.38, 446,013.89 and 97,721.13

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Solution

The fourth proportional to 297,454.38, 446,013.89 and 97,721.13 is: 146,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,454.38 : 446,013.89 = 97,721.13 : x
  2. Step 2: Convert to fraction form
    297,454.38/446,013.89 = 97,721.13/x
  3. Step 3: Cross multiply
    297,454.38x = 446,013.89 × 97,721.13
  4. Step 4: Simplify right side
    297,454.38x = 43,584,982,197.23
  5. Step 5: Solve for x
    x = 43,584,982,197.23/297,454.38
  6. Step 6: Final answer
    x = 146,526.61

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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.