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Finding the Fourth Proportional to 443,953.20, 665,929.80 and 194,635.20

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Solution

The fourth proportional to 443,953.20, 665,929.80 and 194,635.20 is: 291,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,953.20 : 665,929.80 = 194,635.20 : x
  2. Step 2: Convert to fraction form
    443,953.20/665,929.80 = 194,635.20/x
  3. Step 3: Cross multiply
    443,953.20x = 665,929.80 × 194,635.20
  4. Step 4: Simplify right side
    443,953.20x = 129,613,379,808.96
  5. Step 5: Solve for x
    x = 129,613,379,808.96/443,953.20
  6. Step 6: Final answer
    x = 291,952.80

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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.