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Finding the Fourth Proportional to 665,638.70, 997,911.30 and 286,850.30

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Solution

The fourth proportional to 665,638.70, 997,911.30 and 286,850.30 is: 430,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,638.70 : 997,911.30 = 286,850.30 : x
  2. Step 2: Convert to fraction form
    665,638.70/997,911.30 = 286,850.30/x
  3. Step 3: Cross multiply
    665,638.70x = 997,911.30 × 286,850.30
  4. Step 4: Simplify right side
    665,638.70x = 286,251,155,778.39
  5. Step 5: Solve for x
    x = 286,251,155,778.39/665,638.70
  6. Step 6: Final answer
    x = 430,039.83

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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.