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Finding the Fourth Proportional to 304,188.75, 419,784.12 and 168,233.90

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Solution

The fourth proportional to 304,188.75, 419,784.12 and 168,233.90 is: 232,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,188.75 : 419,784.12 = 168,233.90 : x
  2. Step 2: Convert to fraction form
    304,188.75/419,784.12 = 168,233.90/x
  3. Step 3: Cross multiply
    304,188.75x = 419,784.12 × 168,233.90
  4. Step 4: Simplify right side
    304,188.75x = 70,621,917,566.75
  5. Step 5: Solve for x
    x = 70,621,917,566.75/304,188.75
  6. Step 6: Final answer
    x = 232,164.79

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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.