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Finding the Fourth Proportional to 300,301.82, 414,416.52 and 164,335.76

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Solution

The fourth proportional to 300,301.82, 414,416.52 and 164,335.76 is: 226,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,301.82 : 414,416.52 = 164,335.76 : x
  2. Step 2: Convert to fraction form
    300,301.82/414,416.52 = 164,335.76/x
  3. Step 3: Cross multiply
    300,301.82x = 414,416.52 × 164,335.76
  4. Step 4: Simplify right side
    300,301.82x = 68,103,450,876.99
  5. Step 5: Solve for x
    x = 68,103,450,876.99/300,301.82
  6. Step 6: Final answer
    x = 226,783.35

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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.