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Finding the Fourth Proportional to 293,966.64, 405,642.90 and 173,100

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Solution

The fourth proportional to 293,966.64, 405,642.90 and 173,100 is: 238,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,966.64 : 405,642.90 = 173,100 : x
  2. Step 2: Convert to fraction form
    293,966.64/405,642.90 = 173,100/x
  3. Step 3: Cross multiply
    293,966.64x = 405,642.90 × 173,100
  4. Step 4: Simplify right side
    293,966.64x = 70,216,785,990
  5. Step 5: Solve for x
    x = 70,216,785,990/293,966.64
  6. Step 6: Final answer
    x = 238,859.71

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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.