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Finding the Fourth Proportional to 293,863.43, 405,503.19 and 164,807.14

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Solution

The fourth proportional to 293,863.43, 405,503.19 and 164,807.14 is: 227,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,863.43 : 405,503.19 = 164,807.14 : x
  2. Step 2: Convert to fraction form
    293,863.43/405,503.19 = 164,807.14/x
  3. Step 3: Cross multiply
    293,863.43x = 405,503.19 × 164,807.14
  4. Step 4: Simplify right side
    293,863.43x = 66,829,821,004.78
  5. Step 5: Solve for x
    x = 66,829,821,004.78/293,863.43
  6. Step 6: Final answer
    x = 227,417.96

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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.