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Finding the Fourth Proportional to 551,049.48, 825,784.86 and 313,902.52

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Solution

The fourth proportional to 551,049.48, 825,784.86 and 313,902.52 is: 470,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,049.48 : 825,784.86 = 313,902.52 : x
  2. Step 2: Convert to fraction form
    551,049.48/825,784.86 = 313,902.52/x
  3. Step 3: Cross multiply
    551,049.48x = 825,784.86 × 313,902.52
  4. Step 4: Simplify right side
    551,049.48x = 259,215,948,531.85
  5. Step 5: Solve for x
    x = 259,215,948,531.85/551,049.48
  6. Step 6: Final answer
    x = 470,404.13

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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.