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Finding the Fourth Proportional to 381,537.60, 572,565.60 and 213,057.60

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Solution

The fourth proportional to 381,537.60, 572,565.60 and 213,057.60 is: 319,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,537.60 : 572,565.60 = 213,057.60 : x
  2. Step 2: Convert to fraction form
    381,537.60/572,565.60 = 213,057.60/x
  3. Step 3: Cross multiply
    381,537.60x = 572,565.60 × 213,057.60
  4. Step 4: Simplify right side
    381,537.60x = 121,989,452,578.56
  5. Step 5: Solve for x
    x = 121,989,452,578.56/381,537.60
  6. Step 6: Final answer
    x = 319,731.14

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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.