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Finding the Fourth Proportional to 381,977.80, 523,054.25 and 366,920.20

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Solution

The fourth proportional to 381,977.80, 523,054.25 and 366,920.20 is: 502,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,977.80 : 523,054.25 = 366,920.20 : x
  2. Step 2: Convert to fraction form
    381,977.80/523,054.25 = 366,920.20/x
  3. Step 3: Cross multiply
    381,977.80x = 523,054.25 × 366,920.20
  4. Step 4: Simplify right side
    381,977.80x = 191,919,170,020.85
  5. Step 5: Solve for x
    x = 191,919,170,020.85/381,977.80
  6. Step 6: Final answer
    x = 502,435.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.