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Finding the Fourth Proportional to 551,030.92, 825,757.17 and 313,883.98

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Solution

The fourth proportional to 551,030.92, 825,757.17 and 313,883.98 is: 470,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,030.92 : 825,757.17 = 313,883.98 : x
  2. Step 2: Convert to fraction form
    551,030.92/825,757.17 = 313,883.98/x
  3. Step 3: Cross multiply
    551,030.92x = 825,757.17 × 313,883.98
  4. Step 4: Simplify right side
    551,030.92x = 259,191,947,033.14
  5. Step 5: Solve for x
    x = 259,191,947,033.14/551,030.92
  6. Step 6: Final answer
    x = 470,376.41

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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.