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Finding the Fourth Proportional to 466,431.26, 699,665.10 and 146,801.20

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Solution

The fourth proportional to 466,431.26, 699,665.10 and 146,801.20 is: 220,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,431.26 : 699,665.10 = 146,801.20 : x
  2. Step 2: Convert to fraction form
    466,431.26/699,665.10 = 146,801.20/x
  3. Step 3: Cross multiply
    466,431.26x = 699,665.10 × 146,801.20
  4. Step 4: Simplify right side
    466,431.26x = 102,711,676,278.12
  5. Step 5: Solve for x
    x = 102,711,676,278.12/466,431.26
  6. Step 6: Final answer
    x = 220,207.53

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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.