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Finding the Fourth Proportional to 370,233.50, 510,922.59 and 200,467.22

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Solution

The fourth proportional to 370,233.50, 510,922.59 and 200,467.22 is: 276,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,233.50 : 510,922.59 = 200,467.22 : x
  2. Step 2: Convert to fraction form
    370,233.50/510,922.59 = 200,467.22/x
  3. Step 3: Cross multiply
    370,233.50x = 510,922.59 × 200,467.22
  4. Step 4: Simplify right side
    370,233.50x = 102,423,231,252.50
  5. Step 5: Solve for x
    x = 102,423,231,252.50/370,233.50
  6. Step 6: Final answer
    x = 276,644.96

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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.