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Finding the Fourth Proportional to 297,966.60, 410,791.41 and 202,307.22

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Solution

The fourth proportional to 297,966.60, 410,791.41 and 202,307.22 is: 278,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,966.60 : 410,791.41 = 202,307.22 : x
  2. Step 2: Convert to fraction form
    297,966.60/410,791.41 = 202,307.22/x
  3. Step 3: Cross multiply
    297,966.60x = 410,791.41 × 202,307.22
  4. Step 4: Simplify right side
    297,966.60x = 83,106,068,156.98
  5. Step 5: Solve for x
    x = 83,106,068,156.98/297,966.60
  6. Step 6: Final answer
    x = 278,910.68

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1.5x scale

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.