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Finding the Fourth Proportional to 340,224.58, 509,753.67 and 240,205.78

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Solution

The fourth proportional to 340,224.58, 509,753.67 and 240,205.78 is: 359,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,224.58 : 509,753.67 = 240,205.78 : x
  2. Step 2: Convert to fraction form
    340,224.58/509,753.67 = 240,205.78/x
  3. Step 3: Cross multiply
    340,224.58x = 509,753.67 × 240,205.78
  4. Step 4: Simplify right side
    340,224.58x = 122,445,777,910.21
  5. Step 5: Solve for x
    x = 122,445,777,910.21/340,224.58
  6. Step 6: Final answer
    x = 359,896.92

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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.