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Finding the Fourth Proportional to 442,525.14, 610,683.84 and 241,321.14

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Solution

The fourth proportional to 442,525.14, 610,683.84 and 241,321.14 is: 333,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,525.14 : 610,683.84 = 241,321.14 : x
  2. Step 2: Convert to fraction form
    442,525.14/610,683.84 = 241,321.14/x
  3. Step 3: Cross multiply
    442,525.14x = 610,683.84 × 241,321.14
  4. Step 4: Simplify right side
    442,525.14x = 147,370,920,448.38
  5. Step 5: Solve for x
    x = 147,370,920,448.38/442,525.14
  6. Step 6: Final answer
    x = 333,022.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.