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Finding the Fourth Proportional to 451,876, 677,918.16 and 156,388

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Solution

The fourth proportional to 451,876, 677,918.16 and 156,388 is: 234,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,876 : 677,918.16 = 156,388 : x
  2. Step 2: Convert to fraction form
    451,876/677,918.16 = 156,388/x
  3. Step 3: Cross multiply
    451,876x = 677,918.16 × 156,388
  4. Step 4: Simplify right side
    451,876x = 106,018,265,206.08
  5. Step 5: Solve for x
    x = 106,018,265,206.08/451,876
  6. Step 6: Final answer
    x = 234,618.05

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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.