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Finding the Fourth Proportional to 474,842.64, 655,257.92 and 259,941.60

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Solution

The fourth proportional to 474,842.64, 655,257.92 and 259,941.60 is: 358,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,842.64 : 655,257.92 = 259,941.60 : x
  2. Step 2: Convert to fraction form
    474,842.64/655,257.92 = 259,941.60/x
  3. Step 3: Cross multiply
    474,842.64x = 655,257.92 × 259,941.60
  4. Step 4: Simplify right side
    474,842.64x = 170,328,792,137.47
  5. Step 5: Solve for x
    x = 170,328,792,137.47/474,842.64
  6. Step 6: Final answer
    x = 358,705.76

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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.