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Finding the Fourth Proportional to 307,752.48, 461,015.28 and 202,251.60

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Solution

The fourth proportional to 307,752.48, 461,015.28 and 202,251.60 is: 302,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,752.48 : 461,015.28 = 202,251.60 : x
  2. Step 2: Convert to fraction form
    307,752.48/461,015.28 = 202,251.60/x
  3. Step 3: Cross multiply
    307,752.48x = 461,015.28 × 202,251.60
  4. Step 4: Simplify right side
    307,752.48x = 93,241,078,004.45
  5. Step 5: Solve for x
    x = 93,241,078,004.45/307,752.48
  6. Step 6: Final answer
    x = 302,974.25

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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.