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Finding the Fourth Proportional to 307,419.50, 461,197.38 and 94,216.88

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Solution

The fourth proportional to 307,419.50, 461,197.38 and 94,216.88 is: 141,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,419.50 : 461,197.38 = 94,216.88 : x
  2. Step 2: Convert to fraction form
    307,419.50/461,197.38 = 94,216.88/x
  3. Step 3: Cross multiply
    307,419.50x = 461,197.38 × 94,216.88
  4. Step 4: Simplify right side
    307,419.50x = 43,452,578,207.77
  5. Step 5: Solve for x
    x = 43,452,578,207.77/307,419.50
  6. Step 6: Final answer
    x = 141,346.20

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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.