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Finding the Fourth Proportional to 451,855.99, 677,311.06 and 152,233.05

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Solution

The fourth proportional to 451,855.99, 677,311.06 and 152,233.05 is: 228,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,855.99 : 677,311.06 = 152,233.05 : x
  2. Step 2: Convert to fraction form
    451,855.99/677,311.06 = 152,233.05/x
  3. Step 3: Cross multiply
    451,855.99x = 677,311.06 × 152,233.05
  4. Step 4: Simplify right side
    451,855.99x = 103,109,128,462.53
  5. Step 5: Solve for x
    x = 103,109,128,462.53/451,855.99
  6. Step 6: Final answer
    x = 228,190.24

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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.