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Finding the Fourth Proportional to 295,287.80, 442,931.70 and 205,086.20

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Solution

The fourth proportional to 295,287.80, 442,931.70 and 205,086.20 is: 307,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,287.80 : 442,931.70 = 205,086.20 : x
  2. Step 2: Convert to fraction form
    295,287.80/442,931.70 = 205,086.20/x
  3. Step 3: Cross multiply
    295,287.80x = 442,931.70 × 205,086.20
  4. Step 4: Simplify right side
    295,287.80x = 90,839,179,212.54
  5. Step 5: Solve for x
    x = 90,839,179,212.54/295,287.80
  6. Step 6: Final answer
    x = 307,629.30

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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.