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Finding the Fourth Proportional to 361,500.50, 542,575.98 and 193,164.72

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Solution

The fourth proportional to 361,500.50, 542,575.98 and 193,164.72 is: 289,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,500.50 : 542,575.98 = 193,164.72 : x
  2. Step 2: Convert to fraction form
    361,500.50/542,575.98 = 193,164.72/x
  3. Step 3: Cross multiply
    361,500.50x = 542,575.98 × 193,164.72
  4. Step 4: Simplify right side
    361,500.50x = 104,806,537,255.43
  5. Step 5: Solve for x
    x = 104,806,537,255.43/361,500.50
  6. Step 6: Final answer
    x = 289,920.86

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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.