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Finding the Fourth Proportional to 496,476.10, 744,908.55 and 196,905.70

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Solution

The fourth proportional to 496,476.10, 744,908.55 and 196,905.70 is: 295,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,476.10 : 744,908.55 = 196,905.70 : x
  2. Step 2: Convert to fraction form
    496,476.10/744,908.55 = 196,905.70/x
  3. Step 3: Cross multiply
    496,476.10x = 744,908.55 × 196,905.70
  4. Step 4: Simplify right side
    496,476.10x = 146,676,739,473.74
  5. Step 5: Solve for x
    x = 146,676,739,473.74/496,476.10
  6. Step 6: Final answer
    x = 295,435.65

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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.