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Finding the Fourth Proportional to 294,829.20, 442,243.80 and 201,517.20

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Solution

The fourth proportional to 294,829.20, 442,243.80 and 201,517.20 is: 302,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,829.20 : 442,243.80 = 201,517.20 : x
  2. Step 2: Convert to fraction form
    294,829.20/442,243.80 = 201,517.20/x
  3. Step 3: Cross multiply
    294,829.20x = 442,243.80 × 201,517.20
  4. Step 4: Simplify right side
    294,829.20x = 89,119,732,293.36
  5. Step 5: Solve for x
    x = 89,119,732,293.36/294,829.20
  6. Step 6: Final answer
    x = 302,275.80

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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.