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Finding the Fourth Proportional to 466,414.46, 699,643.56 and 150,896

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Solution

The fourth proportional to 466,414.46, 699,643.56 and 150,896 is: 226,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,414.46 : 699,643.56 = 150,896 : x
  2. Step 2: Convert to fraction form
    466,414.46/699,643.56 = 150,896/x
  3. Step 3: Cross multiply
    466,414.46x = 699,643.56 × 150,896
  4. Step 4: Simplify right side
    466,414.46x = 105,573,414,629.76
  5. Step 5: Solve for x
    x = 105,573,414,629.76/466,414.46
  6. Step 6: Final answer
    x = 226,351.08

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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.