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Finding the Fourth Proportional to 292,896.14, 404,214.10 and 165,583.58

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Solution

The fourth proportional to 292,896.14, 404,214.10 and 165,583.58 is: 228,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,896.14 : 404,214.10 = 165,583.58 : x
  2. Step 2: Convert to fraction form
    292,896.14/404,214.10 = 165,583.58/x
  3. Step 3: Cross multiply
    292,896.14x = 404,214.10 × 165,583.58
  4. Step 4: Simplify right side
    292,896.14x = 66,931,215,329.45
  5. Step 5: Solve for x
    x = 66,931,215,329.45/292,896.14
  6. Step 6: Final answer
    x = 228,515.19

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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.