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Finding the Fourth Proportional to 367,432.57, 507,043.93 and 206,294.41

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Solution

The fourth proportional to 367,432.57, 507,043.93 and 206,294.41 is: 284,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,432.57 : 507,043.93 = 206,294.41 : x
  2. Step 2: Convert to fraction form
    367,432.57/507,043.93 = 206,294.41/x
  3. Step 3: Cross multiply
    367,432.57x = 507,043.93 × 206,294.41
  4. Step 4: Simplify right side
    367,432.57x = 104,600,328,383.43
  5. Step 5: Solve for x
    x = 104,600,328,383.43/367,432.57
  6. Step 6: Final answer
    x = 284,678.98

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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.