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Finding the Fourth Proportional to 451,877, 677,815.50 and 156,389

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Solution

The fourth proportional to 451,877, 677,815.50 and 156,389 is: 234,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,877 : 677,815.50 = 156,389 : x
  2. Step 2: Convert to fraction form
    451,877/677,815.50 = 156,389/x
  3. Step 3: Cross multiply
    451,877x = 677,815.50 × 156,389
  4. Step 4: Simplify right side
    451,877x = 106,002,888,229.50
  5. Step 5: Solve for x
    x = 106,002,888,229.50/451,877
  6. Step 6: Final answer
    x = 234,583.50

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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.