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Finding the Fourth Proportional to 496,874.70, 744,947.55 and 197,207.10

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Solution

The fourth proportional to 496,874.70, 744,947.55 and 197,207.10 is: 295,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,874.70 : 744,947.55 = 197,207.10 : x
  2. Step 2: Convert to fraction form
    496,874.70/744,947.55 = 197,207.10/x
  3. Step 3: Cross multiply
    496,874.70x = 744,947.55 × 197,207.10
  4. Step 4: Simplify right side
    496,874.70x = 146,908,945,987.61
  5. Step 5: Solve for x
    x = 146,908,945,987.61/496,874.70
  6. Step 6: Final answer
    x = 295,665.98

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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.