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Finding the Fourth Proportional to 407,241.75, 610,950.36 and 122,908.50

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Solution

The fourth proportional to 407,241.75, 610,950.36 and 122,908.50 is: 184,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,241.75 : 610,950.36 = 122,908.50 : x
  2. Step 2: Convert to fraction form
    407,241.75/610,950.36 = 122,908.50/x
  3. Step 3: Cross multiply
    407,241.75x = 610,950.36 × 122,908.50
  4. Step 4: Simplify right side
    407,241.75x = 75,090,992,322.06
  5. Step 5: Solve for x
    x = 75,090,992,322.06/407,241.75
  6. Step 6: Final answer
    x = 184,389.23

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Why These Related Problems?

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