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Finding the Fourth Proportional to 292,265.30, 403,331.49 and 164,916.32

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Solution

The fourth proportional to 292,265.30, 403,331.49 and 164,916.32 is: 227,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,265.30 : 403,331.49 = 164,916.32 : x
  2. Step 2: Convert to fraction form
    292,265.30/403,331.49 = 164,916.32/x
  3. Step 3: Cross multiply
    292,265.30x = 403,331.49 × 164,916.32
  4. Step 4: Simplify right side
    292,265.30x = 66,515,945,070.92
  5. Step 5: Solve for x
    x = 66,515,945,070.92/292,265.30
  6. Step 6: Final answer
    x = 227,587.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.