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Finding the Fourth Proportional to 404,592, 558,336.96 and 225,744

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Solution

The fourth proportional to 404,592, 558,336.96 and 225,744 is: 311,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,592 : 558,336.96 = 225,744 : x
  2. Step 2: Convert to fraction form
    404,592/558,336.96 = 225,744/x
  3. Step 3: Cross multiply
    404,592x = 558,336.96 × 225,744
  4. Step 4: Simplify right side
    404,592x = 126,041,218,698.24
  5. Step 5: Solve for x
    x = 126,041,218,698.24/404,592
  6. Step 6: Final answer
    x = 311,526.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.