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Finding the Fourth Proportional to 451,863.59, 677,797.71 and 152,346.77

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Solution

The fourth proportional to 451,863.59, 677,797.71 and 152,346.77 is: 228,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,863.59 : 677,797.71 = 152,346.77 : x
  2. Step 2: Convert to fraction form
    451,863.59/677,797.71 = 152,346.77/x
  3. Step 3: Cross multiply
    451,863.59x = 677,797.71 × 152,346.77
  4. Step 4: Simplify right side
    451,863.59x = 103,260,288,442.91
  5. Step 5: Solve for x
    x = 103,260,288,442.91/451,863.59
  6. Step 6: Final answer
    x = 228,520.93

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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.