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Finding the Fourth Proportional to 443,753.82, 612,384.18 and 409,849.83

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Solution

The fourth proportional to 443,753.82, 612,384.18 and 409,849.83 is: 565,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,753.82 : 612,384.18 = 409,849.83 : x
  2. Step 2: Convert to fraction form
    443,753.82/612,384.18 = 409,849.83/x
  3. Step 3: Cross multiply
    443,753.82x = 612,384.18 × 409,849.83
  4. Step 4: Simplify right side
    443,753.82x = 250,985,552,067.69
  5. Step 5: Solve for x
    x = 250,985,552,067.69/443,753.82
  6. Step 6: Final answer
    x = 565,596.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.