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Finding the Fourth Proportional to 293,951.40, 405,657.25 and 164,918.40

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Solution

The fourth proportional to 293,951.40, 405,657.25 and 164,918.40 is: 227,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,951.40 : 405,657.25 = 164,918.40 : x
  2. Step 2: Convert to fraction form
    293,951.40/405,657.25 = 164,918.40/x
  3. Step 3: Cross multiply
    293,951.40x = 405,657.25 × 164,918.40
  4. Step 4: Simplify right side
    293,951.40x = 66,900,344,618.40
  5. Step 5: Solve for x
    x = 66,900,344,618.40/293,951.40
  6. Step 6: Final answer
    x = 227,589.81

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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.