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Finding the Fourth Proportional to 397,553.21, 548,637.76 and 227,820.14

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Solution

The fourth proportional to 397,553.21, 548,637.76 and 227,820.14 is: 314,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,553.21 : 548,637.76 = 227,820.14 : x
  2. Step 2: Convert to fraction form
    397,553.21/548,637.76 = 227,820.14/x
  3. Step 3: Cross multiply
    397,553.21x = 548,637.76 × 227,820.14
  4. Step 4: Simplify right side
    397,553.21x = 124,990,731,292.49
  5. Step 5: Solve for x
    x = 124,990,731,292.49/397,553.21
  6. Step 6: Final answer
    x = 314,400.01

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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.