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Finding the Fourth Proportional to 407,226.83, 561,973.09 and 225,938.32

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Solution

The fourth proportional to 407,226.83, 561,973.09 and 225,938.32 is: 311,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,226.83 : 561,973.09 = 225,938.32 : x
  2. Step 2: Convert to fraction form
    407,226.83/561,973.09 = 225,938.32/x
  3. Step 3: Cross multiply
    407,226.83x = 561,973.09 × 225,938.32
  4. Step 4: Simplify right side
    407,226.83x = 126,971,255,839.81
  5. Step 5: Solve for x
    x = 126,971,255,839.81/407,226.83
  6. Step 6: Final answer
    x = 311,794.92

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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.