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Finding the Fourth Proportional to 497,384.40, 746,076.60 and 164,917.20

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Solution

The fourth proportional to 497,384.40, 746,076.60 and 164,917.20 is: 247,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,384.40 : 746,076.60 = 164,917.20 : x
  2. Step 2: Convert to fraction form
    497,384.40/746,076.60 = 164,917.20/x
  3. Step 3: Cross multiply
    497,384.40x = 746,076.60 × 164,917.20
  4. Step 4: Simplify right side
    497,384.40x = 123,040,863,857.52
  5. Step 5: Solve for x
    x = 123,040,863,857.52/497,384.40
  6. Step 6: Final answer
    x = 247,375.80

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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.