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Finding the Fourth Proportional to 411,414.50, 616,899.86 and 186,652.30

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Solution

The fourth proportional to 411,414.50, 616,899.86 and 186,652.30 is: 279,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,414.50 : 616,899.86 = 186,652.30 : x
  2. Step 2: Convert to fraction form
    411,414.50/616,899.86 = 186,652.30/x
  3. Step 3: Cross multiply
    411,414.50x = 616,899.86 × 186,652.30
  4. Step 4: Simplify right side
    411,414.50x = 115,145,776,594.84
  5. Step 5: Solve for x
    x = 115,145,776,594.84/411,414.50
  6. Step 6: Final answer
    x = 279,877.78

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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.