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Finding the Fourth Proportional to 379,102.77, 523,154.84 and 209,333.25

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Solution

The fourth proportional to 379,102.77, 523,154.84 and 209,333.25 is: 288,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,102.77 : 523,154.84 = 209,333.25 : x
  2. Step 2: Convert to fraction form
    379,102.77/523,154.84 = 209,333.25/x
  3. Step 3: Cross multiply
    379,102.77x = 523,154.84 × 209,333.25
  4. Step 4: Simplify right side
    379,102.77x = 109,513,701,863.76
  5. Step 5: Solve for x
    x = 109,513,701,863.76/379,102.77
  6. Step 6: Final answer
    x = 288,876.03

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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.