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Finding the Fourth Proportional to 361,957.14, 499,524.50 and 209,001.80

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Solution

The fourth proportional to 361,957.14, 499,524.50 and 209,001.80 is: 288,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,957.14 : 499,524.50 = 209,001.80 : x
  2. Step 2: Convert to fraction form
    361,957.14/499,524.50 = 209,001.80/x
  3. Step 3: Cross multiply
    361,957.14x = 499,524.50 × 209,001.80
  4. Step 4: Simplify right side
    361,957.14x = 104,401,521,415.42
  5. Step 5: Solve for x
    x = 104,401,521,415.42/361,957.14
  6. Step 6: Final answer
    x = 288,436.14

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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.