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Finding the Fourth Proportional to 298,667.08, 412,159.62 and 164,531.08

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Solution

The fourth proportional to 298,667.08, 412,159.62 and 164,531.08 is: 227,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,667.08 : 412,159.62 = 164,531.08 : x
  2. Step 2: Convert to fraction form
    298,667.08/412,159.62 = 164,531.08/x
  3. Step 3: Cross multiply
    298,667.08x = 412,159.62 × 164,531.08
  4. Step 4: Simplify right side
    298,667.08x = 67,813,067,410.99
  5. Step 5: Solve for x
    x = 67,813,067,410.99/298,667.08
  6. Step 6: Final answer
    x = 227,052.37

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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.