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Finding the Fourth Proportional to 407,199.60, 561,938.84 and 225,923.44

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Solution

The fourth proportional to 407,199.60, 561,938.84 and 225,923.44 is: 311,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,199.60 : 561,938.84 = 225,923.44 : x
  2. Step 2: Convert to fraction form
    407,199.60/561,938.84 = 225,923.44/x
  3. Step 3: Cross multiply
    407,199.60x = 561,938.84 × 225,923.44
  4. Step 4: Simplify right side
    407,199.60x = 126,955,155,802.41
  5. Step 5: Solve for x
    x = 126,955,155,802.41/407,199.60
  6. Step 6: Final answer
    x = 311,776.23

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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.