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Finding the Fourth Proportional to 551,046.48, 825,780.36 and 313,899.48

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Solution

The fourth proportional to 551,046.48, 825,780.36 and 313,899.48 is: 470,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,046.48 : 825,780.36 = 313,899.48 : x
  2. Step 2: Convert to fraction form
    551,046.48/825,780.36 = 313,899.48/x
  3. Step 3: Cross multiply
    551,046.48x = 825,780.36 × 313,899.48
  4. Step 4: Simplify right side
    551,046.48x = 259,212,025,598.21
  5. Step 5: Solve for x
    x = 259,212,025,598.21/551,046.48
  6. Step 6: Final answer
    x = 470,399.57

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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.