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Finding the Fourth Proportional to 334,726.65, 461,751.98 and 213,740.73

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Solution

The fourth proportional to 334,726.65, 461,751.98 and 213,740.73 is: 294,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,726.65 : 461,751.98 = 213,740.73 : x
  2. Step 2: Convert to fraction form
    334,726.65/461,751.98 = 213,740.73/x
  3. Step 3: Cross multiply
    334,726.65x = 461,751.98 × 213,740.73
  4. Step 4: Simplify right side
    334,726.65x = 98,695,204,215.44
  5. Step 5: Solve for x
    x = 98,695,204,215.44/334,726.65
  6. Step 6: Final answer
    x = 294,853.14

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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.