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Finding the Fourth Proportional to 413,987.86, 571,219.41 and 241,872.55

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Solution

The fourth proportional to 413,987.86, 571,219.41 and 241,872.55 is: 333,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,987.86 : 571,219.41 = 241,872.55 : x
  2. Step 2: Convert to fraction form
    413,987.86/571,219.41 = 241,872.55/x
  3. Step 3: Cross multiply
    413,987.86x = 571,219.41 × 241,872.55
  4. Step 4: Simplify right side
    413,987.86x = 138,162,295,306.20
  5. Step 5: Solve for x
    x = 138,162,295,306.20/413,987.86
  6. Step 6: Final answer
    x = 333,735.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.