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Finding the Fourth Proportional to 307,753.48, 461,016.78 and 202,252.60

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Solution

The fourth proportional to 307,753.48, 461,016.78 and 202,252.60 is: 302,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,753.48 : 461,016.78 = 202,252.60 : x
  2. Step 2: Convert to fraction form
    307,753.48/461,016.78 = 202,252.60/x
  3. Step 3: Cross multiply
    307,753.48x = 461,016.78 × 202,252.60
  4. Step 4: Simplify right side
    307,753.48x = 93,241,842,398.63
  5. Step 5: Solve for x
    x = 93,241,842,398.63/307,753.48
  6. Step 6: Final answer
    x = 302,975.75

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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.