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Finding the Fourth Proportional to 307,853.95, 461,796.48 and 118,247.84

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Solution

The fourth proportional to 307,853.95, 461,796.48 and 118,247.84 is: 177,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,853.95 : 461,796.48 = 118,247.84 : x
  2. Step 2: Convert to fraction form
    307,853.95/461,796.48 = 118,247.84/x
  3. Step 3: Cross multiply
    307,853.95x = 461,796.48 × 118,247.84
  4. Step 4: Simplify right side
    307,853.95x = 54,606,437,434.09
  5. Step 5: Solve for x
    x = 54,606,437,434.09/307,853.95
  6. Step 6: Final answer
    x = 177,377.74

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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.