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Finding the Fourth Proportional to 356,849.20, 492,451.14 and 205,946.20

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Solution

The fourth proportional to 356,849.20, 492,451.14 and 205,946.20 is: 284,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,849.20 : 492,451.14 = 205,946.20 : x
  2. Step 2: Convert to fraction form
    356,849.20/492,451.14 = 205,946.20/x
  3. Step 3: Cross multiply
    356,849.20x = 492,451.14 × 205,946.20
  4. Step 4: Simplify right side
    356,849.20x = 101,418,440,968.67
  5. Step 5: Solve for x
    x = 101,418,440,968.67/356,849.20
  6. Step 6: Final answer
    x = 284,205.32

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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.