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Finding the Fourth Proportional to 300,882.03, 415,220.48 and 164,913

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Solution

The fourth proportional to 300,882.03, 415,220.48 and 164,913 is: 227,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,882.03 : 415,220.48 = 164,913 : x
  2. Step 2: Convert to fraction form
    300,882.03/415,220.48 = 164,913/x
  3. Step 3: Cross multiply
    300,882.03x = 415,220.48 × 164,913
  4. Step 4: Simplify right side
    300,882.03x = 68,475,255,018.24
  5. Step 5: Solve for x
    x = 68,475,255,018.24/300,882.03
  6. Step 6: Final answer
    x = 227,581.74

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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.