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Finding the Fourth Proportional to 291,833.90, 402,662.19 and 177,110

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Solution

The fourth proportional to 291,833.90, 402,662.19 and 177,110 is: 244,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,833.90 : 402,662.19 = 177,110 : x
  2. Step 2: Convert to fraction form
    291,833.90/402,662.19 = 177,110/x
  3. Step 3: Cross multiply
    291,833.90x = 402,662.19 × 177,110
  4. Step 4: Simplify right side
    291,833.90x = 71,315,500,470.90
  5. Step 5: Solve for x
    x = 71,315,500,470.90/291,833.90
  6. Step 6: Final answer
    x = 244,370.17

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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.