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Finding the Fourth Proportional to 294,995.83, 442,159.17 and 259,388.41

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Solution

The fourth proportional to 294,995.83, 442,159.17 and 259,388.41 is: 388,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,995.83 : 442,159.17 = 259,388.41 : x
  2. Step 2: Convert to fraction form
    294,995.83/442,159.17 = 259,388.41/x
  3. Step 3: Cross multiply
    294,995.83x = 442,159.17 × 259,388.41
  4. Step 4: Simplify right side
    294,995.83x = 114,690,964,073.22
  5. Step 5: Solve for x
    x = 114,690,964,073.22/294,995.83
  6. Step 6: Final answer
    x = 388,788.42

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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.