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Finding the Fourth Proportional to 466,097.40, 699,200.10 and 150,586.20

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Solution

The fourth proportional to 466,097.40, 699,200.10 and 150,586.20 is: 225,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,097.40 : 699,200.10 = 150,586.20 : x
  2. Step 2: Convert to fraction form
    466,097.40/699,200.10 = 150,586.20/x
  3. Step 3: Cross multiply
    466,097.40x = 699,200.10 × 150,586.20
  4. Step 4: Simplify right side
    466,097.40x = 105,289,886,098.62
  5. Step 5: Solve for x
    x = 105,289,886,098.62/466,097.40
  6. Step 6: Final answer
    x = 225,896.75

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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.