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Finding the Fourth Proportional to 363,902.70, 545,854.05 and 269,424.30

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Solution

The fourth proportional to 363,902.70, 545,854.05 and 269,424.30 is: 404,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,902.70 : 545,854.05 = 269,424.30 : x
  2. Step 2: Convert to fraction form
    363,902.70/545,854.05 = 269,424.30/x
  3. Step 3: Cross multiply
    363,902.70x = 545,854.05 × 269,424.30
  4. Step 4: Simplify right side
    363,902.70x = 147,066,345,323.42
  5. Step 5: Solve for x
    x = 147,066,345,323.42/363,902.70
  6. Step 6: Final answer
    x = 404,136.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.