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Finding the Fourth Proportional to 291,511.72, 402,288.42 and 164,175.40

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Solution

The fourth proportional to 291,511.72, 402,288.42 and 164,175.40 is: 226,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,511.72 : 402,288.42 = 164,175.40 : x
  2. Step 2: Convert to fraction form
    291,511.72/402,288.42 = 164,175.40/x
  3. Step 3: Cross multiply
    291,511.72x = 402,288.42 × 164,175.40
  4. Step 4: Simplify right side
    291,511.72x = 66,045,862,268.87
  5. Step 5: Solve for x
    x = 66,045,862,268.87/291,511.72
  6. Step 6: Final answer
    x = 226,563.32

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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.