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Finding the Fourth Proportional to 296,009.40, 443,754.90 and 177,727.80

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Solution

The fourth proportional to 296,009.40, 443,754.90 and 177,727.80 is: 266,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,009.40 : 443,754.90 = 177,727.80 : x
  2. Step 2: Convert to fraction form
    296,009.40/443,754.90 = 177,727.80/x
  3. Step 3: Cross multiply
    296,009.40x = 443,754.90 × 177,727.80
  4. Step 4: Simplify right side
    296,009.40x = 78,867,582,116.22
  5. Step 5: Solve for x
    x = 78,867,582,116.22/296,009.40
  6. Step 6: Final answer
    x = 266,436.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.