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Finding the Fourth Proportional to 297,442.52, 446,117.61 and 97,761.57

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Solution

The fourth proportional to 297,442.52, 446,117.61 and 97,761.57 is: 146,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,442.52 : 446,117.61 = 97,761.57 : x
  2. Step 2: Convert to fraction form
    297,442.52/446,117.61 = 97,761.57/x
  3. Step 3: Cross multiply
    297,442.52x = 446,117.61 × 97,761.57
  4. Step 4: Simplify right side
    297,442.52x = 43,613,157,958.25
  5. Step 5: Solve for x
    x = 43,613,157,958.25/297,442.52
  6. Step 6: Final answer
    x = 146,627.18

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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.