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Finding the Fourth Proportional to 296,140.39, 408,673.31 and 167,078.69

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Solution

The fourth proportional to 296,140.39, 408,673.31 and 167,078.69 is: 230,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,140.39 : 408,673.31 = 167,078.69 : x
  2. Step 2: Convert to fraction form
    296,140.39/408,673.31 = 167,078.69/x
  3. Step 3: Cross multiply
    296,140.39x = 408,673.31 × 167,078.69
  4. Step 4: Simplify right side
    296,140.39x = 68,280,601,272.76
  5. Step 5: Solve for x
    x = 68,280,601,272.76/296,140.39
  6. Step 6: Final answer
    x = 230,568.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.