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Finding the Fourth Proportional to 291,227.76, 401,907.24 and 163,911.60

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Solution

The fourth proportional to 291,227.76, 401,907.24 and 163,911.60 is: 226,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,227.76 : 401,907.24 = 163,911.60 : x
  2. Step 2: Convert to fraction form
    291,227.76/401,907.24 = 163,911.60/x
  3. Step 3: Cross multiply
    291,227.76x = 401,907.24 × 163,911.60
  4. Step 4: Simplify right side
    291,227.76x = 65,877,258,759.98
  5. Step 5: Solve for x
    x = 65,877,258,759.98/291,227.76
  6. Step 6: Final answer
    x = 226,205.29

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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.