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Finding the Fourth Proportional to 264,005, 364,177.86 and 156,469.40

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Solution

The fourth proportional to 264,005, 364,177.86 and 156,469.40 is: 215,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,005 : 364,177.86 = 156,469.40 : x
  2. Step 2: Convert to fraction form
    264,005/364,177.86 = 156,469.40/x
  3. Step 3: Cross multiply
    264,005x = 364,177.86 × 156,469.40
  4. Step 4: Simplify right side
    264,005x = 56,982,691,247.48
  5. Step 5: Solve for x
    x = 56,982,691,247.48/264,005
  6. Step 6: Final answer
    x = 215,839.44

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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.