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Finding the Fourth Proportional to 294,561.38, 406,460.48 and 165,481.94

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Solution

The fourth proportional to 294,561.38, 406,460.48 and 165,481.94 is: 228,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,561.38 : 406,460.48 = 165,481.94 : x
  2. Step 2: Convert to fraction form
    294,561.38/406,460.48 = 165,481.94/x
  3. Step 3: Cross multiply
    294,561.38x = 406,460.48 × 165,481.94
  4. Step 4: Simplify right side
    294,561.38x = 67,261,865,904.02
  5. Step 5: Solve for x
    x = 67,261,865,904.02/294,561.38
  6. Step 6: Final answer
    x = 228,345.84

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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.