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Finding the Fourth Proportional to 294,599.96, 441,928.49 and 117,067.20

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Solution

The fourth proportional to 294,599.96, 441,928.49 and 117,067.20 is: 175,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,599.96 : 441,928.49 = 117,067.20 : x
  2. Step 2: Convert to fraction form
    294,599.96/441,928.49 = 117,067.20/x
  3. Step 3: Cross multiply
    294,599.96x = 441,928.49 × 117,067.20
  4. Step 4: Simplify right side
    294,599.96x = 51,735,330,924.53
  5. Step 5: Solve for x
    x = 51,735,330,924.53/294,599.96
  6. Step 6: Final answer
    x = 175,612.15

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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.