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Finding the Fourth Proportional to 871,662.40, 1,307,234.40 and 338,876.80

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Solution

The fourth proportional to 871,662.40, 1,307,234.40 and 338,876.80 is: 508,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,662.40 : 1,307,234.40 = 338,876.80 : x
  2. Step 2: Convert to fraction form
    871,662.40/1,307,234.40 = 338,876.80/x
  3. Step 3: Cross multiply
    871,662.40x = 1,307,234.40 × 338,876.80
  4. Step 4: Simplify right side
    871,662.40x = 442,991,410,321.92
  5. Step 5: Solve for x
    x = 442,991,410,321.92/871,662.40
  6. Step 6: Final answer
    x = 508,214.43

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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.