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Finding the Fourth Proportional to 273,404.10, 410,106.15 and 188,985.90

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Solution

The fourth proportional to 273,404.10, 410,106.15 and 188,985.90 is: 283,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,404.10 : 410,106.15 = 188,985.90 : x
  2. Step 2: Convert to fraction form
    273,404.10/410,106.15 = 188,985.90/x
  3. Step 3: Cross multiply
    273,404.10x = 410,106.15 × 188,985.90
  4. Step 4: Simplify right side
    273,404.10x = 77,504,279,853.29
  5. Step 5: Solve for x
    x = 77,504,279,853.29/273,404.10
  6. Step 6: Final answer
    x = 283,478.85

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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.