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Finding the Fourth Proportional to 351,412.52, 526,868.22 and 164,321.96

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Solution

The fourth proportional to 351,412.52, 526,868.22 and 164,321.96 is: 246,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,412.52 : 526,868.22 = 164,321.96 : x
  2. Step 2: Convert to fraction form
    351,412.52/526,868.22 = 164,321.96/x
  3. Step 3: Cross multiply
    351,412.52x = 526,868.22 × 164,321.96
  4. Step 4: Simplify right side
    351,412.52x = 86,576,018,572.11
  5. Step 5: Solve for x
    x = 86,576,018,572.11/351,412.52
  6. Step 6: Final answer
    x = 246,365.78

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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.