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Finding the Fourth Proportional to 413,340.50, 619,433.12 and 223,391.36

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Solution

The fourth proportional to 413,340.50, 619,433.12 and 223,391.36 is: 334,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,340.50 : 619,433.12 = 223,391.36 : x
  2. Step 2: Convert to fraction form
    413,340.50/619,433.12 = 223,391.36/x
  3. Step 3: Cross multiply
    413,340.50x = 619,433.12 × 223,391.36
  4. Step 4: Simplify right side
    413,340.50x = 138,376,007,105.84
  5. Step 5: Solve for x
    x = 138,376,007,105.84/413,340.50
  6. Step 6: Final answer
    x = 334,774.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.