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Finding the Fourth Proportional to 399,778.68, 599,834.24 and 175,023.40

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Solution

The fourth proportional to 399,778.68, 599,834.24 and 175,023.40 is: 262,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,778.68 : 599,834.24 = 175,023.40 : x
  2. Step 2: Convert to fraction form
    399,778.68/599,834.24 = 175,023.40/x
  3. Step 3: Cross multiply
    399,778.68x = 599,834.24 × 175,023.40
  4. Step 4: Simplify right side
    399,778.68x = 104,985,028,121.22
  5. Step 5: Solve for x
    x = 104,985,028,121.22/399,778.68
  6. Step 6: Final answer
    x = 262,607.87

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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.