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Finding the Fourth Proportional to 298,809.62, 412,357.28 and 164,673.62

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Solution

The fourth proportional to 298,809.62, 412,357.28 and 164,673.62 is: 227,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,809.62 : 412,357.28 = 164,673.62 : x
  2. Step 2: Convert to fraction form
    298,809.62/412,357.28 = 164,673.62/x
  3. Step 3: Cross multiply
    298,809.62x = 412,357.28 × 164,673.62
  4. Step 4: Simplify right side
    298,809.62x = 67,904,363,145.80
  5. Step 5: Solve for x
    x = 67,904,363,145.80/298,809.62
  6. Step 6: Final answer
    x = 227,249.59

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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.