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Finding the Fourth Proportional to 456,396.30, 684,394.79 and 216,578.79

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Solution

The fourth proportional to 456,396.30, 684,394.79 and 216,578.79 is: 324,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,396.30 : 684,394.79 = 216,578.79 : x
  2. Step 2: Convert to fraction form
    456,396.30/684,394.79 = 216,578.79/x
  3. Step 3: Cross multiply
    456,396.30x = 684,394.79 × 216,578.79
  4. Step 4: Simplify right side
    456,396.30x = 148,225,394,417.61
  5. Step 5: Solve for x
    x = 148,225,394,417.61/456,396.30
  6. Step 6: Final answer
    x = 324,773.44

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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.