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Finding the Fourth Proportional to 307,709.66, 461,601.34 and 94,449.64

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Solution

The fourth proportional to 307,709.66, 461,601.34 and 94,449.64 is: 141,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,709.66 : 461,601.34 = 94,449.64 : x
  2. Step 2: Convert to fraction form
    307,709.66/461,601.34 = 94,449.64/x
  3. Step 3: Cross multiply
    307,709.66x = 461,601.34 × 94,449.64
  4. Step 4: Simplify right side
    307,709.66x = 43,598,080,386.52
  5. Step 5: Solve for x
    x = 43,598,080,386.52/307,709.66
  6. Step 6: Final answer
    x = 141,685.77

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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.