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Finding the Fourth Proportional to 270,575.98, 406,004.02 and 196,309.11

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Solution

The fourth proportional to 270,575.98, 406,004.02 and 196,309.11 is: 294,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,575.98 : 406,004.02 = 196,309.11 : x
  2. Step 2: Convert to fraction form
    270,575.98/406,004.02 = 196,309.11/x
  3. Step 3: Cross multiply
    270,575.98x = 406,004.02 × 196,309.11
  4. Step 4: Simplify right side
    270,575.98x = 79,702,286,551.77
  5. Step 5: Solve for x
    x = 79,702,286,551.77/270,575.98
  6. Step 6: Final answer
    x = 294,565.27

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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.