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Finding the Fourth Proportional to 295,302.80, 442,954.20 and 206,829.20

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Solution

The fourth proportional to 295,302.80, 442,954.20 and 206,829.20 is: 310,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,302.80 : 442,954.20 = 206,829.20 : x
  2. Step 2: Convert to fraction form
    295,302.80/442,954.20 = 206,829.20/x
  3. Step 3: Cross multiply
    295,302.80x = 442,954.20 × 206,829.20
  4. Step 4: Simplify right side
    295,302.80x = 91,615,862,822.64
  5. Step 5: Solve for x
    x = 91,615,862,822.64/295,302.80
  6. Step 6: Final answer
    x = 310,243.80

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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.