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Finding the Fourth Proportional to 408,000.10, 612,000.15 and 171,609.70

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Solution

The fourth proportional to 408,000.10, 612,000.15 and 171,609.70 is: 257,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,000.10 : 612,000.15 = 171,609.70 : x
  2. Step 2: Convert to fraction form
    408,000.10/612,000.15 = 171,609.70/x
  3. Step 3: Cross multiply
    408,000.10x = 612,000.15 × 171,609.70
  4. Step 4: Simplify right side
    408,000.10x = 105,025,162,141.46
  5. Step 5: Solve for x
    x = 105,025,162,141.46/408,000.10
  6. Step 6: Final answer
    x = 257,414.55

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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.