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Finding the Fourth Proportional to 443,690.80, 665,633.40 and 177,384.40

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Solution

The fourth proportional to 443,690.80, 665,633.40 and 177,384.40 is: 266,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,690.80 : 665,633.40 = 177,384.40 : x
  2. Step 2: Convert to fraction form
    443,690.80/665,633.40 = 177,384.40/x
  3. Step 3: Cross multiply
    443,690.80x = 665,633.40 × 177,384.40
  4. Step 4: Simplify right side
    443,690.80x = 118,072,981,278.96
  5. Step 5: Solve for x
    x = 118,072,981,278.96/443,690.80
  6. Step 6: Final answer
    x = 266,115.46

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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.