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Finding the Fourth Proportional to 407,223.09, 561,948.82 and 225,933.09

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Solution

The fourth proportional to 407,223.09, 561,948.82 and 225,933.09 is: 311,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,223.09 : 561,948.82 = 225,933.09 : x
  2. Step 2: Convert to fraction form
    407,223.09/561,948.82 = 225,933.09/x
  3. Step 3: Cross multiply
    407,223.09x = 561,948.82 × 225,933.09
  4. Step 4: Simplify right side
    407,223.09x = 126,962,833,324.45
  5. Step 5: Solve for x
    x = 126,962,833,324.45/407,223.09
  6. Step 6: Final answer
    x = 311,777.10

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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.