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Finding the Fourth Proportional to 458,509.53, 687,543.07 and 192,198.54

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Solution

The fourth proportional to 458,509.53, 687,543.07 and 192,198.54 is: 288,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,509.53 : 687,543.07 = 192,198.54 : x
  2. Step 2: Convert to fraction form
    458,509.53/687,543.07 = 192,198.54/x
  3. Step 3: Cross multiply
    458,509.53x = 687,543.07 × 192,198.54
  4. Step 4: Simplify right side
    458,509.53x = 132,144,774,241.12
  5. Step 5: Solve for x
    x = 132,144,774,241.12/458,509.53
  6. Step 6: Final answer
    x = 288,205.08

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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.