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Finding the Fourth Proportional to 443,718.84, 665,098.26 and 177,186.36

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Solution

The fourth proportional to 443,718.84, 665,098.26 and 177,186.36 is: 265,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,718.84 : 665,098.26 = 177,186.36 : x
  2. Step 2: Convert to fraction form
    443,718.84/665,098.26 = 177,186.36/x
  3. Step 3: Cross multiply
    443,718.84x = 665,098.26 × 177,186.36
  4. Step 4: Simplify right side
    443,718.84x = 117,846,339,731.73
  5. Step 5: Solve for x
    x = 117,846,339,731.73/443,718.84
  6. Step 6: Final answer
    x = 265,587.87

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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.