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Finding the Fourth Proportional to 270,585.31, 406,017.95 and 196,318.43

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Solution

The fourth proportional to 270,585.31, 406,017.95 and 196,318.43 is: 294,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,585.31 : 406,017.95 = 196,318.43 : x
  2. Step 2: Convert to fraction form
    270,585.31/406,017.95 = 196,318.43/x
  3. Step 3: Cross multiply
    270,585.31x = 406,017.95 × 196,318.43
  4. Step 4: Simplify right side
    270,585.31x = 79,708,808,394.85
  5. Step 5: Solve for x
    x = 79,708,808,394.85/270,585.31
  6. Step 6: Final answer
    x = 294,579.22

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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.