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Finding the Fourth Proportional to 551,031.42, 825,757.92 and 313,884.48

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Solution

The fourth proportional to 551,031.42, 825,757.92 and 313,884.48 is: 470,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,031.42 : 825,757.92 = 313,884.48 : x
  2. Step 2: Convert to fraction form
    551,031.42/825,757.92 = 313,884.48/x
  3. Step 3: Cross multiply
    551,031.42x = 825,757.92 × 313,884.48
  4. Step 4: Simplify right side
    551,031.42x = 259,192,595,325.08
  5. Step 5: Solve for x
    x = 259,192,595,325.08/551,031.42
  6. Step 6: Final answer
    x = 470,377.16

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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.