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Finding the Fourth Proportional to 378,221.80, 567,294.30 and 128,900.20

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Solution

The fourth proportional to 378,221.80, 567,294.30 and 128,900.20 is: 193,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,221.80 : 567,294.30 = 128,900.20 : x
  2. Step 2: Convert to fraction form
    378,221.80/567,294.30 = 128,900.20/x
  3. Step 3: Cross multiply
    378,221.80x = 567,294.30 × 128,900.20
  4. Step 4: Simplify right side
    378,221.80x = 73,124,348,728.86
  5. Step 5: Solve for x
    x = 73,124,348,728.86/378,221.80
  6. Step 6: Final answer
    x = 193,337.21

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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.