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Finding the Fourth Proportional to 410,675.20, 616,243.20 and 173,977.60

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Solution

The fourth proportional to 410,675.20, 616,243.20 and 173,977.60 is: 261,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,675.20 : 616,243.20 = 173,977.60 : x
  2. Step 2: Convert to fraction form
    410,675.20/616,243.20 = 173,977.60/x
  3. Step 3: Cross multiply
    410,675.20x = 616,243.20 × 173,977.60
  4. Step 4: Simplify right side
    410,675.20x = 107,212,512,952.32
  5. Step 5: Solve for x
    x = 107,212,512,952.32/410,675.20
  6. Step 6: Final answer
    x = 261,064.01

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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.