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Finding the Fourth Proportional to 407,249.72, 610,629.12 and 182,569.48

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Solution

The fourth proportional to 407,249.72, 610,629.12 and 182,569.48 is: 273,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,249.72 : 610,629.12 = 182,569.48 : x
  2. Step 2: Convert to fraction form
    407,249.72/610,629.12 = 182,569.48/x
  3. Step 3: Cross multiply
    407,249.72x = 610,629.12 × 182,569.48
  4. Step 4: Simplify right side
    407,249.72x = 111,482,240,911.26
  5. Step 5: Solve for x
    x = 111,482,240,911.26/407,249.72
  6. Step 6: Final answer
    x = 273,744.18

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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.