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Finding the Fourth Proportional to 474,498.90, 654,823.17 and 259,648.02

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Solution

The fourth proportional to 474,498.90, 654,823.17 and 259,648.02 is: 358,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,498.90 : 654,823.17 = 259,648.02 : x
  2. Step 2: Convert to fraction form
    474,498.90/654,823.17 = 259,648.02/x
  3. Step 3: Cross multiply
    474,498.90x = 654,823.17 × 259,648.02
  4. Step 4: Simplify right side
    474,498.90x = 170,023,539,540.62
  5. Step 5: Solve for x
    x = 170,023,539,540.62/474,498.90
  6. Step 6: Final answer
    x = 358,322.30

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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.