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Finding the Fourth Proportional to 297,244, 409,884.06 and 229,272.04

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Solution

The fourth proportional to 297,244, 409,884.06 and 229,272.04 is: 316,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,244 : 409,884.06 = 229,272.04 : x
  2. Step 2: Convert to fraction form
    297,244/409,884.06 = 229,272.04/x
  3. Step 3: Cross multiply
    297,244x = 409,884.06 × 229,272.04
  4. Step 4: Simplify right side
    297,244x = 93,974,954,599.68
  5. Step 5: Solve for x
    x = 93,974,954,599.68/297,244
  6. Step 6: Final answer
    x = 316,154.25

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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.