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Finding the Fourth Proportional to 292,896.68, 404,214.85 and 165,584.12

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Solution

The fourth proportional to 292,896.68, 404,214.85 and 165,584.12 is: 228,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,896.68 : 404,214.85 = 165,584.12 : x
  2. Step 2: Convert to fraction form
    292,896.68/404,214.85 = 165,584.12/x
  3. Step 3: Cross multiply
    292,896.68x = 404,214.85 × 165,584.12
  4. Step 4: Simplify right side
    292,896.68x = 66,931,560,228.18
  5. Step 5: Solve for x
    x = 66,931,560,228.18/292,896.68
  6. Step 6: Final answer
    x = 228,515.94

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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.