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Finding the Fourth Proportional to 385,864.56, 578,932.92 and 119,692.08

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Solution

The fourth proportional to 385,864.56, 578,932.92 and 119,692.08 is: 179,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,864.56 : 578,932.92 = 119,692.08 : x
  2. Step 2: Convert to fraction form
    385,864.56/578,932.92 = 119,692.08/x
  3. Step 3: Cross multiply
    385,864.56x = 578,932.92 × 119,692.08
  4. Step 4: Simplify right side
    385,864.56x = 69,293,685,375.27
  5. Step 5: Solve for x
    x = 69,293,685,375.27/385,864.56
  6. Step 6: Final answer
    x = 179,580.33

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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.