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Finding the Fourth Proportional to 472,647.12, 708,685.52 and 188,381.44

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Solution

The fourth proportional to 472,647.12, 708,685.52 and 188,381.44 is: 282,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,647.12 : 708,685.52 = 188,381.44 : x
  2. Step 2: Convert to fraction form
    472,647.12/708,685.52 = 188,381.44/x
  3. Step 3: Cross multiply
    472,647.12x = 708,685.52 × 188,381.44
  4. Step 4: Simplify right side
    472,647.12x = 133,503,198,764.75
  5. Step 5: Solve for x
    x = 133,503,198,764.75/472,647.12
  6. Step 6: Final answer
    x = 282,458.50

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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.