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Finding the Fourth Proportional to 294,959.32, 407,046.71 and 167,635.82

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Solution

The fourth proportional to 294,959.32, 407,046.71 and 167,635.82 is: 231,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,959.32 : 407,046.71 = 167,635.82 : x
  2. Step 2: Convert to fraction form
    294,959.32/407,046.71 = 167,635.82/x
  3. Step 3: Cross multiply
    294,959.32x = 407,046.71 × 167,635.82
  4. Step 4: Simplify right side
    294,959.32x = 68,235,610,445.86
  5. Step 5: Solve for x
    x = 68,235,610,445.86/294,959.32
  6. Step 6: Final answer
    x = 231,339.06

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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.