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Finding the Fourth Proportional to 583,170.69, 874,624.81 and 209,193.69

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Solution

The fourth proportional to 583,170.69, 874,624.81 and 209,193.69 is: 313,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,170.69 : 874,624.81 = 209,193.69 : x
  2. Step 2: Convert to fraction form
    583,170.69/874,624.81 = 209,193.69/x
  3. Step 3: Cross multiply
    583,170.69x = 874,624.81 × 209,193.69
  4. Step 4: Simplify right side
    583,170.69x = 182,965,990,187.14
  5. Step 5: Solve for x
    x = 182,965,990,187.14/583,170.69
  6. Step 6: Final answer
    x = 313,743.46

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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.