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Finding the Fourth Proportional to 296,634.74, 409,331.26 and 174,113.87

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Solution

The fourth proportional to 296,634.74, 409,331.26 and 174,113.87 is: 240,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,634.74 : 409,331.26 = 174,113.87 : x
  2. Step 2: Convert to fraction form
    296,634.74/409,331.26 = 174,113.87/x
  3. Step 3: Cross multiply
    296,634.74x = 409,331.26 × 174,113.87
  4. Step 4: Simplify right side
    296,634.74x = 71,270,247,743.92
  5. Step 5: Solve for x
    x = 71,270,247,743.92/296,634.74
  6. Step 6: Final answer
    x = 240,262.65

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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.