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Finding the Fourth Proportional to 293,088.32, 404,469.12 and 164,025.78

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Solution

The fourth proportional to 293,088.32, 404,469.12 and 164,025.78 is: 226,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,088.32 : 404,469.12 = 164,025.78 : x
  2. Step 2: Convert to fraction form
    293,088.32/404,469.12 = 164,025.78/x
  3. Step 3: Cross multiply
    293,088.32x = 404,469.12 × 164,025.78
  4. Step 4: Simplify right side
    293,088.32x = 66,343,362,893.91
  5. Step 5: Solve for x
    x = 66,343,362,893.91/293,088.32
  6. Step 6: Final answer
    x = 226,359.63

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1.5x scale

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.