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Finding the Fourth Proportional to 301,934.81, 452,891.78 and 77,297.18

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Solution

The fourth proportional to 301,934.81, 452,891.78 and 77,297.18 is: 115,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,934.81 : 452,891.78 = 77,297.18 : x
  2. Step 2: Convert to fraction form
    301,934.81/452,891.78 = 77,297.18/x
  3. Step 3: Cross multiply
    301,934.81x = 452,891.78 × 77,297.18
  4. Step 4: Simplify right side
    301,934.81x = 35,007,254,788.24
  5. Step 5: Solve for x
    x = 35,007,254,788.24/301,934.81
  6. Step 6: Final answer
    x = 115,943.09

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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.