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Finding the Fourth Proportional to 300,800.20, 415,063.65 and 171,730.47

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Solution

The fourth proportional to 300,800.20, 415,063.65 and 171,730.47 is: 236,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,800.20 : 415,063.65 = 171,730.47 : x
  2. Step 2: Convert to fraction form
    300,800.20/415,063.65 = 171,730.47/x
  3. Step 3: Cross multiply
    300,800.20x = 415,063.65 × 171,730.47
  4. Step 4: Simplify right side
    300,800.20x = 71,279,075,238.17
  5. Step 5: Solve for x
    x = 71,279,075,238.17/300,800.20
  6. Step 6: Final answer
    x = 236,964.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.