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Finding the Fourth Proportional to 337,687.68, 506,166.96 and 219,443.84

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Solution

The fourth proportional to 337,687.68, 506,166.96 and 219,443.84 is: 328,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,687.68 : 506,166.96 = 219,443.84 : x
  2. Step 2: Convert to fraction form
    337,687.68/506,166.96 = 219,443.84/x
  3. Step 3: Cross multiply
    337,687.68x = 506,166.96 × 219,443.84
  4. Step 4: Simplify right side
    337,687.68x = 111,075,221,383.53
  5. Step 5: Solve for x
    x = 111,075,221,383.53/337,687.68
  6. Step 6: Final answer
    x = 328,928.85

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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.