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Finding the Fourth Proportional to 442,022.40, 663,033.60 and 274,060.80

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Solution

The fourth proportional to 442,022.40, 663,033.60 and 274,060.80 is: 411,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,022.40 : 663,033.60 = 274,060.80 : x
  2. Step 2: Convert to fraction form
    442,022.40/663,033.60 = 274,060.80/x
  3. Step 3: Cross multiply
    442,022.40x = 663,033.60 × 274,060.80
  4. Step 4: Simplify right side
    442,022.40x = 181,711,518,842.88
  5. Step 5: Solve for x
    x = 181,711,518,842.88/442,022.40
  6. Step 6: Final answer
    x = 411,091.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.