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Finding the Fourth Proportional to 472,382.63, 708,085.61 and 219,456.75

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Solution

The fourth proportional to 472,382.63, 708,085.61 and 219,456.75 is: 328,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,382.63 : 708,085.61 = 219,456.75 : x
  2. Step 2: Convert to fraction form
    472,382.63/708,085.61 = 219,456.75/x
  3. Step 3: Cross multiply
    472,382.63x = 708,085.61 × 219,456.75
  4. Step 4: Simplify right side
    472,382.63x = 155,394,166,692.37
  5. Step 5: Solve for x
    x = 155,394,166,692.37/472,382.63
  6. Step 6: Final answer
    x = 328,958.26

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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.