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Finding the Fourth Proportional to 435,586.62, 653,241.69 and 140,029.50

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Solution

The fourth proportional to 435,586.62, 653,241.69 and 140,029.50 is: 209,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,586.62 : 653,241.69 = 140,029.50 : x
  2. Step 2: Convert to fraction form
    435,586.62/653,241.69 = 140,029.50/x
  3. Step 3: Cross multiply
    435,586.62x = 653,241.69 × 140,029.50
  4. Step 4: Simplify right side
    435,586.62x = 91,473,107,229.86
  5. Step 5: Solve for x
    x = 91,473,107,229.86/435,586.62
  6. Step 6: Final answer
    x = 209,999.81

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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.