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Finding the Fourth Proportional to 294,863.14, 442,309.83 and 84,502.90

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Solution

The fourth proportional to 294,863.14, 442,309.83 and 84,502.90 is: 126,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,863.14 : 442,309.83 = 84,502.90 : x
  2. Step 2: Convert to fraction form
    294,863.14/442,309.83 = 84,502.90/x
  3. Step 3: Cross multiply
    294,863.14x = 442,309.83 × 84,502.90
  4. Step 4: Simplify right side
    294,863.14x = 37,376,463,333.51
  5. Step 5: Solve for x
    x = 37,376,463,333.51/294,863.14
  6. Step 6: Final answer
    x = 126,758.68

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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.