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Finding the Fourth Proportional to 300,084.51, 414,267.18 and 231,947.62

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Solution

The fourth proportional to 300,084.51, 414,267.18 and 231,947.62 is: 320,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,084.51 : 414,267.18 = 231,947.62 : x
  2. Step 2: Convert to fraction form
    300,084.51/414,267.18 = 231,947.62/x
  3. Step 3: Cross multiply
    300,084.51x = 414,267.18 × 231,947.62
  4. Step 4: Simplify right side
    300,084.51x = 96,088,284,539.64
  5. Step 5: Solve for x
    x = 96,088,284,539.64/300,084.51
  6. Step 6: Final answer
    x = 320,204.08

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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.