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Finding the Fourth Proportional to 381,521.14, 526,524.06 and 220,382.98

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Solution

The fourth proportional to 381,521.14, 526,524.06 and 220,382.98 is: 304,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,521.14 : 526,524.06 = 220,382.98 : x
  2. Step 2: Convert to fraction form
    381,521.14/526,524.06 = 220,382.98/x
  3. Step 3: Cross multiply
    381,521.14x = 526,524.06 × 220,382.98
  4. Step 4: Simplify right side
    381,521.14x = 116,036,940,894.63
  5. Step 5: Solve for x
    x = 116,036,940,894.63/381,521.14
  6. Step 6: Final answer
    x = 304,142.89

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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.