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Finding the Fourth Proportional to 494,390.96, 741,015.24 and 227,592.08

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Solution

The fourth proportional to 494,390.96, 741,015.24 and 227,592.08 is: 341,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,390.96 : 741,015.24 = 227,592.08 : x
  2. Step 2: Convert to fraction form
    494,390.96/741,015.24 = 227,592.08/x
  3. Step 3: Cross multiply
    494,390.96x = 741,015.24 × 227,592.08
  4. Step 4: Simplify right side
    494,390.96x = 168,649,199,783.30
  5. Step 5: Solve for x
    x = 168,649,199,783.30/494,390.96
  6. Step 6: Final answer
    x = 341,125.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.