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Finding the Fourth Proportional to 294,402.59, 406,296.57 and 167,086.38

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Solution

The fourth proportional to 294,402.59, 406,296.57 and 167,086.38 is: 230,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,402.59 : 406,296.57 = 167,086.38 : x
  2. Step 2: Convert to fraction form
    294,402.59/406,296.57 = 167,086.38/x
  3. Step 3: Cross multiply
    294,402.59x = 406,296.57 × 167,086.38
  4. Step 4: Simplify right side
    294,402.59x = 67,886,623,087.72
  5. Step 5: Solve for x
    x = 67,886,623,087.72/294,402.59
  6. Step 6: Final answer
    x = 230,591.12

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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.