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Finding the Fourth Proportional to 617,745.22, 927,217.02 and 298,122.02

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Solution

The fourth proportional to 617,745.22, 927,217.02 and 298,122.02 is: 447,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,745.22 : 927,217.02 = 298,122.02 : x
  2. Step 2: Convert to fraction form
    617,745.22/927,217.02 = 298,122.02/x
  3. Step 3: Cross multiply
    617,745.22x = 927,217.02 × 298,122.02
  4. Step 4: Simplify right side
    617,745.22x = 276,423,810,939.72
  5. Step 5: Solve for x
    x = 276,423,810,939.72/617,745.22
  6. Step 6: Final answer
    x = 447,472.20

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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.