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Finding the Fourth Proportional to 334,503.44, 461,830.92 and 207,314

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Solution

The fourth proportional to 334,503.44, 461,830.92 and 207,314 is: 286,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,503.44 : 461,830.92 = 207,314 : x
  2. Step 2: Convert to fraction form
    334,503.44/461,830.92 = 207,314/x
  3. Step 3: Cross multiply
    334,503.44x = 461,830.92 × 207,314
  4. Step 4: Simplify right side
    334,503.44x = 95,744,015,348.88
  5. Step 5: Solve for x
    x = 95,744,015,348.88/334,503.44
  6. Step 6: Final answer
    x = 286,227.30

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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.