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Finding the Fourth Proportional to 381,811.80, 572,544.90 and 171,341.40

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Solution

The fourth proportional to 381,811.80, 572,544.90 and 171,341.40 is: 256,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,811.80 : 572,544.90 = 171,341.40 : x
  2. Step 2: Convert to fraction form
    381,811.80/572,544.90 = 171,341.40/x
  3. Step 3: Cross multiply
    381,811.80x = 572,544.90 × 171,341.40
  4. Step 4: Simplify right side
    381,811.80x = 98,100,644,728.86
  5. Step 5: Solve for x
    x = 98,100,644,728.86/381,811.80
  6. Step 6: Final answer
    x = 256,934.55

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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.