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Finding the Fourth Proportional to 474,540.47, 654,865.91 and 259,680.55

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Solution

The fourth proportional to 474,540.47, 654,865.91 and 259,680.55 is: 358,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,540.47 : 654,865.91 = 259,680.55 : x
  2. Step 2: Convert to fraction form
    474,540.47/654,865.91 = 259,680.55/x
  3. Step 3: Cross multiply
    474,540.47x = 654,865.91 × 259,680.55
  4. Step 4: Simplify right side
    474,540.47x = 170,055,939,685.05
  5. Step 5: Solve for x
    x = 170,055,939,685.05/474,540.47
  6. Step 6: Final answer
    x = 358,359.19

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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.