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Finding the Fourth Proportional to 407,194.60, 561,931.94 and 225,918.42

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Solution

The fourth proportional to 407,194.60, 561,931.94 and 225,918.42 is: 311,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,194.60 : 561,931.94 = 225,918.42 : x
  2. Step 2: Convert to fraction form
    407,194.60/561,931.94 = 225,918.42/x
  3. Step 3: Cross multiply
    407,194.60x = 561,931.94 × 225,918.42
  4. Step 4: Simplify right side
    407,194.60x = 126,950,776,032.34
  5. Step 5: Solve for x
    x = 126,950,776,032.34/407,194.60
  6. Step 6: Final answer
    x = 311,769.30

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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.