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Finding the Fourth Proportional to 304,967.54, 420,843.76 and 168,997.98

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Solution

The fourth proportional to 304,967.54, 420,843.76 and 168,997.98 is: 233,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,967.54 : 420,843.76 = 168,997.98 : x
  2. Step 2: Convert to fraction form
    304,967.54/420,843.76 = 168,997.98/x
  3. Step 3: Cross multiply
    304,967.54x = 420,843.76 × 168,997.98
  4. Step 4: Simplify right side
    304,967.54x = 71,121,745,335.60
  5. Step 5: Solve for x
    x = 71,121,745,335.60/304,967.54
  6. Step 6: Final answer
    x = 233,210.87

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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.