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Finding the Fourth Proportional to 442,528.80, 610,532.25 and 261,150

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Solution

The fourth proportional to 442,528.80, 610,532.25 and 261,150 is: 360,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,528.80 : 610,532.25 = 261,150 : x
  2. Step 2: Convert to fraction form
    442,528.80/610,532.25 = 261,150/x
  3. Step 3: Cross multiply
    442,528.80x = 610,532.25 × 261,150
  4. Step 4: Simplify right side
    442,528.80x = 159,440,497,087.50
  5. Step 5: Solve for x
    x = 159,440,497,087.50/442,528.80
  6. Step 6: Final answer
    x = 360,294.06

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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.