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Finding the Fourth Proportional to 443,832.70, 665,734.47 and 177,521.74

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Solution

The fourth proportional to 443,832.70, 665,734.47 and 177,521.74 is: 266,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,832.70 : 665,734.47 = 177,521.74 : x
  2. Step 2: Convert to fraction form
    443,832.70/665,734.47 = 177,521.74/x
  3. Step 3: Cross multiply
    443,832.70x = 665,734.47 × 177,521.74
  4. Step 4: Simplify right side
    443,832.70x = 118,182,341,492.38
  5. Step 5: Solve for x
    x = 118,182,341,492.38/443,832.70
  6. Step 6: Final answer
    x = 266,276.78

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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.