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Finding the Fourth Proportional to 400,224.96, 600,039.36 and 242,415.36

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Solution

The fourth proportional to 400,224.96, 600,039.36 and 242,415.36 is: 363,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,224.96 : 600,039.36 = 242,415.36 : x
  2. Step 2: Convert to fraction form
    400,224.96/600,039.36 = 242,415.36/x
  3. Step 3: Cross multiply
    400,224.96x = 600,039.36 × 242,415.36
  4. Step 4: Simplify right side
    400,224.96x = 145,458,757,468.57
  5. Step 5: Solve for x
    x = 145,458,757,468.57/400,224.96
  6. Step 6: Final answer
    x = 363,442.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.