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Finding the Fourth Proportional to 451,704.30, 677,556.45 and 152,085.30

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Solution

The fourth proportional to 451,704.30, 677,556.45 and 152,085.30 is: 228,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,704.30 : 677,556.45 = 152,085.30 : x
  2. Step 2: Convert to fraction form
    451,704.30/677,556.45 = 152,085.30/x
  3. Step 3: Cross multiply
    451,704.30x = 677,556.45 × 152,085.30
  4. Step 4: Simplify right side
    451,704.30x = 103,046,375,965.19
  5. Step 5: Solve for x
    x = 103,046,375,965.19/451,704.30
  6. Step 6: Final answer
    x = 228,127.95

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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.