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Finding the Fourth Proportional to 379,002.93, 523,024.74 and 209,237.19

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Solution

The fourth proportional to 379,002.93, 523,024.74 and 209,237.19 is: 288,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,002.93 : 523,024.74 = 209,237.19 : x
  2. Step 2: Convert to fraction form
    379,002.93/523,024.74 = 209,237.19/x
  3. Step 3: Cross multiply
    379,002.93x = 523,024.74 × 209,237.19
  4. Step 4: Simplify right side
    379,002.93x = 109,436,226,898.08
  5. Step 5: Solve for x
    x = 109,436,226,898.08/379,002.93
  6. Step 6: Final answer
    x = 288,747.71

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Why These Related Problems?

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