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Finding the Fourth Proportional to 458,859.67, 688,388.01 and 192,466.65

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Solution

The fourth proportional to 458,859.67, 688,388.01 and 192,466.65 is: 288,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,859.67 : 688,388.01 = 192,466.65 : x
  2. Step 2: Convert to fraction form
    458,859.67/688,388.01 = 192,466.65/x
  3. Step 3: Cross multiply
    458,859.67x = 688,388.01 × 192,466.65
  4. Step 4: Simplify right side
    458,859.67x = 132,491,734,184.87
  5. Step 5: Solve for x
    x = 132,491,734,184.87/458,859.67
  6. Step 6: Final answer
    x = 288,741.29

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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.