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Finding the Fourth Proportional to 411,278.69, 617,221.22 and 195,138.32

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Solution

The fourth proportional to 411,278.69, 617,221.22 and 195,138.32 is: 292,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,278.69 : 617,221.22 = 195,138.32 : x
  2. Step 2: Convert to fraction form
    411,278.69/617,221.22 = 195,138.32/x
  3. Step 3: Cross multiply
    411,278.69x = 617,221.22 × 195,138.32
  4. Step 4: Simplify right side
    411,278.69x = 120,443,507,877.35
  5. Step 5: Solve for x
    x = 120,443,507,877.35/411,278.69
  6. Step 6: Final answer
    x = 292,851.32

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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.