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Finding the Fourth Proportional to 309,672.33, 427,436.91 and 200,772.69

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Solution

The fourth proportional to 309,672.33, 427,436.91 and 200,772.69 is: 277,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,672.33 : 427,436.91 = 200,772.69 : x
  2. Step 2: Convert to fraction form
    309,672.33/427,436.91 = 200,772.69/x
  3. Step 3: Cross multiply
    309,672.33x = 427,436.91 × 200,772.69
  4. Step 4: Simplify right side
    309,672.33x = 85,817,658,225.99
  5. Step 5: Solve for x
    x = 85,817,658,225.99/309,672.33
  6. Step 6: Final answer
    x = 277,124.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.