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Finding the Fourth Proportional to 297,474.48, 446,117.13 and 97,748.64

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Solution

The fourth proportional to 297,474.48, 446,117.13 and 97,748.64 is: 146,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,474.48 : 446,117.13 = 97,748.64 : x
  2. Step 2: Convert to fraction form
    297,474.48/446,117.13 = 97,748.64/x
  3. Step 3: Cross multiply
    297,474.48x = 446,117.13 × 97,748.64
  4. Step 4: Simplify right side
    297,474.48x = 43,607,342,738.20
  5. Step 5: Solve for x
    x = 43,607,342,738.20/297,474.48
  6. Step 6: Final answer
    x = 146,591.88

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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.