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Finding the Fourth Proportional to 291,864.74, 402,767.84 and 164,540.38

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Solution

The fourth proportional to 291,864.74, 402,767.84 and 164,540.38 is: 227,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,864.74 : 402,767.84 = 164,540.38 : x
  2. Step 2: Convert to fraction form
    291,864.74/402,767.84 = 164,540.38/x
  3. Step 3: Cross multiply
    291,864.74x = 402,767.84 × 164,540.38
  4. Step 4: Simplify right side
    291,864.74x = 66,271,573,445.38
  5. Step 5: Solve for x
    x = 66,271,573,445.38/291,864.74
  6. Step 6: Final answer
    x = 227,062.62

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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.