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Finding the Fourth Proportional to 307,610.20, 461,412.54 and 97,248.20

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Solution

The fourth proportional to 307,610.20, 461,412.54 and 97,248.20 is: 145,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,610.20 : 461,412.54 = 97,248.20 : x
  2. Step 2: Convert to fraction form
    307,610.20/461,412.54 = 97,248.20/x
  3. Step 3: Cross multiply
    307,610.20x = 461,412.54 × 97,248.20
  4. Step 4: Simplify right side
    307,610.20x = 44,871,538,972.43
  5. Step 5: Solve for x
    x = 44,871,538,972.43/307,610.20
  6. Step 6: Final answer
    x = 145,871.43

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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.