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Finding the Fourth Proportional to 380,334.38, 524,859.52 and 208,249.22

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Solution

The fourth proportional to 380,334.38, 524,859.52 and 208,249.22 is: 287,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,334.38 : 524,859.52 = 208,249.22 : x
  2. Step 2: Convert to fraction form
    380,334.38/524,859.52 = 208,249.22/x
  3. Step 3: Cross multiply
    380,334.38x = 524,859.52 × 208,249.22
  4. Step 4: Simplify right side
    380,334.38x = 109,301,585,941.10
  5. Step 5: Solve for x
    x = 109,301,585,941.10/380,334.38
  6. Step 6: Final answer
    x = 287,382.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.