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Finding the Fourth Proportional to 431,393.40, 647,381.70 and 194,614.20

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Solution

The fourth proportional to 431,393.40, 647,381.70 and 194,614.20 is: 292,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,393.40 : 647,381.70 = 194,614.20 : x
  2. Step 2: Convert to fraction form
    431,393.40/647,381.70 = 194,614.20/x
  3. Step 3: Cross multiply
    431,393.40x = 647,381.70 × 194,614.20
  4. Step 4: Simplify right side
    431,393.40x = 125,989,671,640.14
  5. Step 5: Solve for x
    x = 125,989,671,640.14/431,393.40
  6. Step 6: Final answer
    x = 292,052.85

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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.