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Finding the Fourth Proportional to 458,855.67, 688,382.00 and 192,462.66

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Solution

The fourth proportional to 458,855.67, 688,382.00 and 192,462.66 is: 288,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,855.67 : 688,382.00 = 192,462.66 : x
  2. Step 2: Convert to fraction form
    458,855.67/688,382.00 = 192,462.66/x
  3. Step 3: Cross multiply
    458,855.67x = 688,382.00 × 192,462.66
  4. Step 4: Simplify right side
    458,855.67x = 132,487,829,853.81
  5. Step 5: Solve for x
    x = 132,487,829,853.81/458,855.67
  6. Step 6: Final answer
    x = 288,735.30

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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.