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Finding the Fourth Proportional to 295,243.20, 442,864.80 and 162,532.80

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Solution

The fourth proportional to 295,243.20, 442,864.80 and 162,532.80 is: 243,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,243.20 : 442,864.80 = 162,532.80 : x
  2. Step 2: Convert to fraction form
    295,243.20/442,864.80 = 162,532.80/x
  3. Step 3: Cross multiply
    295,243.20x = 442,864.80 × 162,532.80
  4. Step 4: Simplify right side
    295,243.20x = 71,980,055,965.44
  5. Step 5: Solve for x
    x = 71,980,055,965.44/295,243.20
  6. Step 6: Final answer
    x = 243,799.20

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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.