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Finding the Fourth Proportional to 466,755.32, 699,775.46 and 146,722.05

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Solution

The fourth proportional to 466,755.32, 699,775.46 and 146,722.05 is: 219,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,755.32 : 699,775.46 = 146,722.05 : x
  2. Step 2: Convert to fraction form
    466,755.32/699,775.46 = 146,722.05/x
  3. Step 3: Cross multiply
    466,755.32x = 699,775.46 × 146,722.05
  4. Step 4: Simplify right side
    466,755.32x = 102,672,487,307.97
  5. Step 5: Solve for x
    x = 102,672,487,307.97/466,755.32
  6. Step 6: Final answer
    x = 219,970.68

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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.