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Finding the Fourth Proportional to 300,648.33, 414,878.49 and 164,656.49

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Solution

The fourth proportional to 300,648.33, 414,878.49 and 164,656.49 is: 227,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,648.33 : 414,878.49 = 164,656.49 : x
  2. Step 2: Convert to fraction form
    300,648.33/414,878.49 = 164,656.49/x
  3. Step 3: Cross multiply
    300,648.33x = 414,878.49 × 164,656.49
  4. Step 4: Simplify right side
    300,648.33x = 68,312,433,865.51
  5. Step 5: Solve for x
    x = 68,312,433,865.51/300,648.33
  6. Step 6: Final answer
    x = 227,217.07

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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.