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Finding the Fourth Proportional to 461,229.67, 691,548.14 and 191,543.84

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Solution

The fourth proportional to 461,229.67, 691,548.14 and 191,543.84 is: 287,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,229.67 : 691,548.14 = 191,543.84 : x
  2. Step 2: Convert to fraction form
    461,229.67/691,548.14 = 191,543.84/x
  3. Step 3: Cross multiply
    461,229.67x = 691,548.14 × 191,543.84
  4. Step 4: Simplify right side
    461,229.67x = 132,461,781,865.00
  5. Step 5: Solve for x
    x = 132,461,781,865.00/461,229.67
  6. Step 6: Final answer
    x = 287,192.67

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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.