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Finding the Fourth Proportional to 408,024.40, 612,094.20 and 127,512.40

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Solution

The fourth proportional to 408,024.40, 612,094.20 and 127,512.40 is: 191,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,024.40 : 612,094.20 = 127,512.40 : x
  2. Step 2: Convert to fraction form
    408,024.40/612,094.20 = 127,512.40/x
  3. Step 3: Cross multiply
    408,024.40x = 612,094.20 × 127,512.40
  4. Step 4: Simplify right side
    408,024.40x = 78,049,600,468.08
  5. Step 5: Solve for x
    x = 78,049,600,468.08/408,024.40
  6. Step 6: Final answer
    x = 191,286.60

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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.