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Finding the Fourth Proportional to 407,121.16, 561,836.22 and 225,827.20

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Solution

The fourth proportional to 407,121.16, 561,836.22 and 225,827.20 is: 311,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,121.16 : 561,836.22 = 225,827.20 : x
  2. Step 2: Convert to fraction form
    407,121.16/561,836.22 = 225,827.20/x
  3. Step 3: Cross multiply
    407,121.16x = 561,836.22 × 225,827.20
  4. Step 4: Simplify right side
    407,121.16x = 126,877,900,421.18
  5. Step 5: Solve for x
    x = 126,877,900,421.18/407,121.16
  6. Step 6: Final answer
    x = 311,646.54

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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.