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Finding the Fourth Proportional to 418,588.36, 577,647.92 and 227,601.78

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Solution

The fourth proportional to 418,588.36, 577,647.92 and 227,601.78 is: 314,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,588.36 : 577,647.92 = 227,601.78 : x
  2. Step 2: Convert to fraction form
    418,588.36/577,647.92 = 227,601.78/x
  3. Step 3: Cross multiply
    418,588.36x = 577,647.92 × 227,601.78
  4. Step 4: Simplify right side
    418,588.36x = 131,473,694,805.30
  5. Step 5: Solve for x
    x = 131,473,694,805.30/418,588.36
  6. Step 6: Final answer
    x = 314,088.27

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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.