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Finding the Fourth Proportional to 466,122.32, 699,228.92 and 185,573.84

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Solution

The fourth proportional to 466,122.32, 699,228.92 and 185,573.84 is: 278,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,122.32 : 699,228.92 = 185,573.84 : x
  2. Step 2: Convert to fraction form
    466,122.32/699,228.92 = 185,573.84/x
  3. Step 3: Cross multiply
    466,122.32x = 699,228.92 × 185,573.84
  4. Step 4: Simplify right side
    466,122.32x = 129,758,595,723.45
  5. Step 5: Solve for x
    x = 129,758,595,723.45/466,122.32
  6. Step 6: Final answer
    x = 278,378.85

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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.