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Finding the Fourth Proportional to 451,645.80, 677,468.70 and 185,269.20

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Solution

The fourth proportional to 451,645.80, 677,468.70 and 185,269.20 is: 277,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,645.80 : 677,468.70 = 185,269.20 : x
  2. Step 2: Convert to fraction form
    451,645.80/677,468.70 = 185,269.20/x
  3. Step 3: Cross multiply
    451,645.80x = 677,468.70 × 185,269.20
  4. Step 4: Simplify right side
    451,645.80x = 125,514,084,074.04
  5. Step 5: Solve for x
    x = 125,514,084,074.04/451,645.80
  6. Step 6: Final answer
    x = 277,903.80

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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.