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Finding the Fourth Proportional to 466,335.58, 699,310.41 and 146,380.54

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Solution

The fourth proportional to 466,335.58, 699,310.41 and 146,380.54 is: 219,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,335.58 : 699,310.41 = 146,380.54 : x
  2. Step 2: Convert to fraction form
    466,335.58/699,310.41 = 146,380.54/x
  3. Step 3: Cross multiply
    466,335.58x = 699,310.41 × 146,380.54
  4. Step 4: Simplify right side
    466,335.58x = 102,365,435,443.42
  5. Step 5: Solve for x
    x = 102,365,435,443.42/466,335.58
  6. Step 6: Final answer
    x = 219,510.24

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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.