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Finding the Fourth Proportional to 405,146.60, 559,099.04 and 223,857.80

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Solution

The fourth proportional to 405,146.60, 559,099.04 and 223,857.80 is: 308,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,146.60 : 559,099.04 = 223,857.80 : x
  2. Step 2: Convert to fraction form
    405,146.60/559,099.04 = 223,857.80/x
  3. Step 3: Cross multiply
    405,146.60x = 559,099.04 × 223,857.80
  4. Step 4: Simplify right side
    405,146.60x = 125,158,681,076.51
  5. Step 5: Solve for x
    x = 125,158,681,076.51/405,146.60
  6. Step 6: Final answer
    x = 308,921.96

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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.