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Finding the Fourth Proportional to 273,670.70, 410,506.05 and 198,437.90

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Solution

The fourth proportional to 273,670.70, 410,506.05 and 198,437.90 is: 297,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,670.70 : 410,506.05 = 198,437.90 : x
  2. Step 2: Convert to fraction form
    273,670.70/410,506.05 = 198,437.90/x
  3. Step 3: Cross multiply
    273,670.70x = 410,506.05 × 198,437.90
  4. Step 4: Simplify right side
    273,670.70x = 81,459,958,499.30
  5. Step 5: Solve for x
    x = 81,459,958,499.30/273,670.70
  6. Step 6: Final answer
    x = 297,656.85

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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.