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Finding the Fourth Proportional to 296,045.78, 408,542.89 and 160,079.41

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Solution

The fourth proportional to 296,045.78, 408,542.89 and 160,079.41 is: 220,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,045.78 : 408,542.89 = 160,079.41 : x
  2. Step 2: Convert to fraction form
    296,045.78/408,542.89 = 160,079.41/x
  3. Step 3: Cross multiply
    296,045.78x = 408,542.89 × 160,079.41
  4. Step 4: Simplify right side
    296,045.78x = 65,399,303,369.34
  5. Step 5: Solve for x
    x = 65,399,303,369.34/296,045.78
  6. Step 6: Final answer
    x = 220,909.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.