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Finding the Fourth Proportional to 458,504.01, 687,534.81 and 192,193.02

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Solution

The fourth proportional to 458,504.01, 687,534.81 and 192,193.02 is: 288,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,504.01 : 687,534.81 = 192,193.02 : x
  2. Step 2: Convert to fraction form
    458,504.01/687,534.81 = 192,193.02/x
  3. Step 3: Cross multiply
    458,504.01x = 687,534.81 × 192,193.02
  4. Step 4: Simplify right side
    458,504.01x = 132,139,391,489.03
  5. Step 5: Solve for x
    x = 132,139,391,489.03/458,504.01
  6. Step 6: Final answer
    x = 288,196.81

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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.