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Finding the Fourth Proportional to 291,324.64, 402,066.31 and 164,025.04

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Solution

The fourth proportional to 291,324.64, 402,066.31 and 164,025.04 is: 226,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,324.64 : 402,066.31 = 164,025.04 : x
  2. Step 2: Convert to fraction form
    291,324.64/402,066.31 = 164,025.04/x
  3. Step 3: Cross multiply
    291,324.64x = 402,066.31 × 164,025.04
  4. Step 4: Simplify right side
    291,324.64x = 65,948,940,570.07
  5. Step 5: Solve for x
    x = 65,948,940,570.07/291,324.64
  6. Step 6: Final answer
    x = 226,376.12

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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.