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Finding the Fourth Proportional to 397,962.38, 549,160.36 and 225,883.87

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Solution

The fourth proportional to 397,962.38, 549,160.36 and 225,883.87 is: 311,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,962.38 : 549,160.36 = 225,883.87 : x
  2. Step 2: Convert to fraction form
    397,962.38/549,160.36 = 225,883.87/x
  3. Step 3: Cross multiply
    397,962.38x = 549,160.36 × 225,883.87
  4. Step 4: Simplify right side
    397,962.38x = 124,046,467,367.39
  5. Step 5: Solve for x
    x = 124,046,467,367.39/397,962.38
  6. Step 6: Final answer
    x = 311,704.00

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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.