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Finding the Fourth Proportional to 307,713.66, 461,607.34 and 94,453.64

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Solution

The fourth proportional to 307,713.66, 461,607.34 and 94,453.64 is: 141,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,713.66 : 461,607.34 = 94,453.64 : x
  2. Step 2: Convert to fraction form
    307,713.66/461,607.34 = 94,453.64/x
  3. Step 3: Cross multiply
    307,713.66x = 461,607.34 × 94,453.64
  4. Step 4: Simplify right side
    307,713.66x = 43,600,493,513.72
  5. Step 5: Solve for x
    x = 43,600,493,513.72/307,713.66
  6. Step 6: Final answer
    x = 141,691.77

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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.