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Finding the Fourth Proportional to 379,435.47, 523,600.39 and 209,658.66

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Solution

The fourth proportional to 379,435.47, 523,600.39 and 209,658.66 is: 289,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,435.47 : 523,600.39 = 209,658.66 : x
  2. Step 2: Convert to fraction form
    379,435.47/523,600.39 = 209,658.66/x
  3. Step 3: Cross multiply
    379,435.47x = 523,600.39 × 209,658.66
  4. Step 4: Simplify right side
    379,435.47x = 109,777,353,262.12
  5. Step 5: Solve for x
    x = 109,777,353,262.12/379,435.47
  6. Step 6: Final answer
    x = 289,317.59

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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.