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Finding the Fourth Proportional to 297,517.64, 410,516.58 and 176,696.82

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Solution

The fourth proportional to 297,517.64, 410,516.58 and 176,696.82 is: 243,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,517.64 : 410,516.58 = 176,696.82 : x
  2. Step 2: Convert to fraction form
    297,517.64/410,516.58 = 176,696.82/x
  3. Step 3: Cross multiply
    297,517.64x = 410,516.58 × 176,696.82
  4. Step 4: Simplify right side
    297,517.64x = 72,536,974,243.28
  5. Step 5: Solve for x
    x = 72,536,974,243.28/297,517.64
  6. Step 6: Final answer
    x = 243,807.31

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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.