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Finding the Fourth Proportional to 408,099.10, 612,148.65 and 221,475.10

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Solution

The fourth proportional to 408,099.10, 612,148.65 and 221,475.10 is: 332,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,099.10 : 612,148.65 = 221,475.10 : x
  2. Step 2: Convert to fraction form
    408,099.10/612,148.65 = 221,475.10/x
  3. Step 3: Cross multiply
    408,099.10x = 612,148.65 × 221,475.10
  4. Step 4: Simplify right side
    408,099.10x = 135,575,683,473.62
  5. Step 5: Solve for x
    x = 135,575,683,473.62/408,099.10
  6. Step 6: Final answer
    x = 332,212.65

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1.5x scale

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.