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Finding the Fourth Proportional to 307,837.60, 461,713.20 and 97,496.80

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Solution

The fourth proportional to 307,837.60, 461,713.20 and 97,496.80 is: 146,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,837.60 : 461,713.20 = 97,496.80 : x
  2. Step 2: Convert to fraction form
    307,837.60/461,713.20 = 97,496.80/x
  3. Step 3: Cross multiply
    307,837.60x = 461,713.20 × 97,496.80
  4. Step 4: Simplify right side
    307,837.60x = 45,015,559,517.76
  5. Step 5: Solve for x
    x = 45,015,559,517.76/307,837.60
  6. Step 6: Final answer
    x = 146,231.52

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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.