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Finding the Fourth Proportional to 298,766.78, 412,268.63 and 176,256.57

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Solution

The fourth proportional to 298,766.78, 412,268.63 and 176,256.57 is: 243,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,766.78 : 412,268.63 = 176,256.57 : x
  2. Step 2: Convert to fraction form
    298,766.78/412,268.63 = 176,256.57/x
  3. Step 3: Cross multiply
    298,766.78x = 412,268.63 × 176,256.57
  4. Step 4: Simplify right side
    298,766.78x = 72,665,053,761.12
  5. Step 5: Solve for x
    x = 72,665,053,761.12/298,766.78
  6. Step 6: Final answer
    x = 243,216.65

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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.