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Finding the Fourth Proportional to 297,658.73, 410,757.26 and 176,796.81

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Solution

The fourth proportional to 297,658.73, 410,757.26 and 176,796.81 is: 243,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,658.73 : 410,757.26 = 176,796.81 : x
  2. Step 2: Convert to fraction form
    297,658.73/410,757.26 = 176,796.81/x
  3. Step 3: Cross multiply
    297,658.73x = 410,757.26 × 176,796.81
  4. Step 4: Simplify right side
    297,658.73x = 72,620,572,368.36
  5. Step 5: Solve for x
    x = 72,620,572,368.36/297,658.73
  6. Step 6: Final answer
    x = 243,972.60

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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.