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Finding the Fourth Proportional to 270,586.08, 406,019.13 and 196,319.19

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Solution

The fourth proportional to 270,586.08, 406,019.13 and 196,319.19 is: 294,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,586.08 : 406,019.13 = 196,319.19 : x
  2. Step 2: Convert to fraction form
    270,586.08/406,019.13 = 196,319.19/x
  3. Step 3: Cross multiply
    270,586.08x = 406,019.13 × 196,319.19
  4. Step 4: Simplify right side
    270,586.08x = 79,709,346,726.10
  5. Step 5: Solve for x
    x = 79,709,346,726.10/270,586.08
  6. Step 6: Final answer
    x = 294,580.37

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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.