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Finding the Fourth Proportional to 266,347.14, 399,711.84 and 180,744.54

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Solution

The fourth proportional to 266,347.14, 399,711.84 and 180,744.54 is: 271,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,347.14 : 399,711.84 = 180,744.54 : x
  2. Step 2: Convert to fraction form
    266,347.14/399,711.84 = 180,744.54/x
  3. Step 3: Cross multiply
    266,347.14x = 399,711.84 × 180,744.54
  4. Step 4: Simplify right side
    266,347.14x = 72,245,732,653.35
  5. Step 5: Solve for x
    x = 72,245,732,653.35/266,347.14
  6. Step 6: Final answer
    x = 271,246.51

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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.