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Finding the Fourth Proportional to 443,832.20, 665,733.72 and 177,521.24

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Solution

The fourth proportional to 443,832.20, 665,733.72 and 177,521.24 is: 266,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,832.20 : 665,733.72 = 177,521.24 : x
  2. Step 2: Convert to fraction form
    443,832.20/665,733.72 = 177,521.24/x
  3. Step 3: Cross multiply
    443,832.20x = 665,733.72 × 177,521.24
  4. Step 4: Simplify right side
    443,832.20x = 118,181,875,484.21
  5. Step 5: Solve for x
    x = 118,181,875,484.21/443,832.20
  6. Step 6: Final answer
    x = 266,276.03

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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.