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Finding the Fourth Proportional to 467,146.84, 644,662.48 and 252,286.95

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Solution

The fourth proportional to 467,146.84, 644,662.48 and 252,286.95 is: 348,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,146.84 : 644,662.48 = 252,286.95 : x
  2. Step 2: Convert to fraction form
    467,146.84/644,662.48 = 252,286.95/x
  3. Step 3: Cross multiply
    467,146.84x = 644,662.48 × 252,286.95
  4. Step 4: Simplify right side
    467,146.84x = 162,639,929,597.20
  5. Step 5: Solve for x
    x = 162,639,929,597.20/467,146.84
  6. Step 6: Final answer
    x = 348,155.90

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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.