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Finding the Fourth Proportional to 458,596.99, 687,146.42 and 278,737.42

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Solution

The fourth proportional to 458,596.99, 687,146.42 and 278,737.42 is: 417,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,596.99 : 687,146.42 = 278,737.42 : x
  2. Step 2: Convert to fraction form
    458,596.99/687,146.42 = 278,737.42/x
  3. Step 3: Cross multiply
    458,596.99x = 687,146.42 × 278,737.42
  4. Step 4: Simplify right side
    458,596.99x = 191,533,420,273.04
  5. Step 5: Solve for x
    x = 191,533,420,273.04/458,596.99
  6. Step 6: Final answer
    x = 417,650.85

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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.