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Finding the Fourth Proportional to 297,578.41, 410,818.13 and 229,446.07

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Solution

The fourth proportional to 297,578.41, 410,818.13 and 229,446.07 is: 316,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,578.41 : 410,818.13 = 229,446.07 : x
  2. Step 2: Convert to fraction form
    297,578.41/410,818.13 = 229,446.07/x
  3. Step 3: Cross multiply
    297,578.41x = 410,818.13 × 229,446.07
  4. Step 4: Simplify right side
    297,578.41x = 94,260,604,099.40
  5. Step 5: Solve for x
    x = 94,260,604,099.40/297,578.41
  6. Step 6: Final answer
    x = 316,758.88

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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.