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Finding the Fourth Proportional to 379,291.98, 523,378.35 and 209,515.98

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Solution

The fourth proportional to 379,291.98, 523,378.35 and 209,515.98 is: 289,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,291.98 : 523,378.35 = 209,515.98 : x
  2. Step 2: Convert to fraction form
    379,291.98/523,378.35 = 209,515.98/x
  3. Step 3: Cross multiply
    379,291.98x = 523,378.35 × 209,515.98
  4. Step 4: Simplify right side
    379,291.98x = 109,656,127,911.03
  5. Step 5: Solve for x
    x = 109,656,127,911.03/379,291.98
  6. Step 6: Final answer
    x = 289,107.43

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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.