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Finding the Fourth Proportional to 291,076.26, 401,684.64 and 163,752

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Solution

The fourth proportional to 291,076.26, 401,684.64 and 163,752 is: 225,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,076.26 : 401,684.64 = 163,752 : x
  2. Step 2: Convert to fraction form
    291,076.26/401,684.64 = 163,752/x
  3. Step 3: Cross multiply
    291,076.26x = 401,684.64 × 163,752
  4. Step 4: Simplify right side
    291,076.26x = 65,776,663,169.28
  5. Step 5: Solve for x
    x = 65,776,663,169.28/291,076.26
  6. Step 6: Final answer
    x = 225,977.42

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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.