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Finding the Fourth Proportional to 379,103.88, 523,153.35 and 209,334.36

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Solution

The fourth proportional to 379,103.88, 523,153.35 and 209,334.36 is: 288,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,103.88 : 523,153.35 = 209,334.36 : x
  2. Step 2: Convert to fraction form
    379,103.88/523,153.35 = 209,334.36/x
  3. Step 3: Cross multiply
    379,103.88x = 523,153.35 × 209,334.36
  4. Step 4: Simplify right side
    379,103.88x = 109,513,971,704.11
  5. Step 5: Solve for x
    x = 109,513,971,704.11/379,103.88
  6. Step 6: Final answer
    x = 288,875.89

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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.