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Finding the Fourth Proportional to 381,403.60, 572,105.40 and 293,102.80

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Solution

The fourth proportional to 381,403.60, 572,105.40 and 293,102.80 is: 439,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,403.60 : 572,105.40 = 293,102.80 : x
  2. Step 2: Convert to fraction form
    381,403.60/572,105.40 = 293,102.80/x
  3. Step 3: Cross multiply
    381,403.60x = 572,105.40 × 293,102.80
  4. Step 4: Simplify right side
    381,403.60x = 167,685,694,635.12
  5. Step 5: Solve for x
    x = 167,685,694,635.12/381,403.60
  6. Step 6: Final answer
    x = 439,654.20

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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.