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Finding the Fourth Proportional to 489,214.30, 733,821.46 and 450,723.10

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Solution

The fourth proportional to 489,214.30, 733,821.46 and 450,723.10 is: 676,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,214.30 : 733,821.46 = 450,723.10 : x
  2. Step 2: Convert to fraction form
    489,214.30/733,821.46 = 450,723.10/x
  3. Step 3: Cross multiply
    489,214.30x = 733,821.46 × 450,723.10
  4. Step 4: Simplify right side
    489,214.30x = 330,750,283,297.73
  5. Step 5: Solve for x
    x = 330,750,283,297.73/489,214.30
  6. Step 6: Final answer
    x = 676,084.66

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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.