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Finding the Fourth Proportional to 297,358.41, 410,167.95 and 176,414.07

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Solution

The fourth proportional to 297,358.41, 410,167.95 and 176,414.07 is: 243,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,358.41 : 410,167.95 = 176,414.07 : x
  2. Step 2: Convert to fraction form
    297,358.41/410,167.95 = 176,414.07/x
  3. Step 3: Cross multiply
    297,358.41x = 410,167.95 × 176,414.07
  4. Step 4: Simplify right side
    297,358.41x = 72,359,397,443.06
  5. Step 5: Solve for x
    x = 72,359,397,443.06/297,358.41
  6. Step 6: Final answer
    x = 243,340.68

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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.