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Finding the Fourth Proportional to 297,043.46, 409,941.66 and 169,716.32

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Solution

The fourth proportional to 297,043.46, 409,941.66 and 169,716.32 is: 234,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,043.46 : 409,941.66 = 169,716.32 : x
  2. Step 2: Convert to fraction form
    297,043.46/409,941.66 = 169,716.32/x
  3. Step 3: Cross multiply
    297,043.46x = 409,941.66 × 169,716.32
  4. Step 4: Simplify right side
    297,043.46x = 69,573,787,900.18
  5. Step 5: Solve for x
    x = 69,573,787,900.18/297,043.46
  6. Step 6: Final answer
    x = 234,220.91

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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.