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Finding the Fourth Proportional to 451,865.48, 677,800.55 and 152,348.65

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Solution

The fourth proportional to 451,865.48, 677,800.55 and 152,348.65 is: 228,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,865.48 : 677,800.55 = 152,348.65 : x
  2. Step 2: Convert to fraction form
    451,865.48/677,800.55 = 152,348.65/x
  3. Step 3: Cross multiply
    451,865.48x = 677,800.55 × 152,348.65
  4. Step 4: Simplify right side
    451,865.48x = 103,261,998,761.76
  5. Step 5: Solve for x
    x = 103,261,998,761.76/451,865.48
  6. Step 6: Final answer
    x = 228,523.76

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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.