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Finding the Fourth Proportional to 301,972.26, 452,945.43 and 77,338.74

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Solution

The fourth proportional to 301,972.26, 452,945.43 and 77,338.74 is: 116,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,972.26 : 452,945.43 = 77,338.74 : x
  2. Step 2: Convert to fraction form
    301,972.26/452,945.43 = 77,338.74/x
  3. Step 3: Cross multiply
    301,972.26x = 452,945.43 × 77,338.74
  4. Step 4: Simplify right side
    301,972.26x = 35,030,228,844.96
  5. Step 5: Solve for x
    x = 35,030,228,844.96/301,972.26
  6. Step 6: Final answer
    x = 116,004.79

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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.