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Finding the Fourth Proportional to 270,674.51, 406,151.76 and 196,406.96

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Solution

The fourth proportional to 270,674.51, 406,151.76 and 196,406.96 is: 294,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,674.51 : 406,151.76 = 196,406.96 : x
  2. Step 2: Convert to fraction form
    270,674.51/406,151.76 = 196,406.96/x
  3. Step 3: Cross multiply
    270,674.51x = 406,151.76 × 196,406.96
  4. Step 4: Simplify right side
    270,674.51x = 79,771,030,973.85
  5. Step 5: Solve for x
    x = 79,771,030,973.85/270,674.51
  6. Step 6: Final answer
    x = 294,712.02

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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.