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Finding the Fourth Proportional to 297,358.40, 410,167.96 and 176,414.08

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Solution

The fourth proportional to 297,358.40, 410,167.96 and 176,414.08 is: 243,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,358.40 : 410,167.96 = 176,414.08 : x
  2. Step 2: Convert to fraction form
    297,358.40/410,167.96 = 176,414.08/x
  3. Step 3: Cross multiply
    297,358.40x = 410,167.96 × 176,414.08
  4. Step 4: Simplify right side
    297,358.40x = 72,359,403,308.88
  5. Step 5: Solve for x
    x = 72,359,403,308.88/297,358.40
  6. Step 6: Final answer
    x = 243,340.71

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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.