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Finding the Fourth Proportional to 471,871.98, 707,246.03 and 271,777.88

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Solution

The fourth proportional to 471,871.98, 707,246.03 and 271,777.88 is: 407,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,871.98 : 707,246.03 = 271,777.88 : x
  2. Step 2: Convert to fraction form
    471,871.98/707,246.03 = 271,777.88/x
  3. Step 3: Cross multiply
    471,871.98x = 707,246.03 × 271,777.88
  4. Step 4: Simplify right side
    471,871.98x = 192,213,829,119.38
  5. Step 5: Solve for x
    x = 192,213,829,119.38/471,871.98
  6. Step 6: Final answer
    x = 407,343.17

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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.