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Finding the Fourth Proportional to 496,364.10, 744,546.15 and 196,916.10

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Solution

The fourth proportional to 496,364.10, 744,546.15 and 196,916.10 is: 295,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,364.10 : 744,546.15 = 196,916.10 : x
  2. Step 2: Convert to fraction form
    496,364.10/744,546.15 = 196,916.10/x
  3. Step 3: Cross multiply
    496,364.10x = 744,546.15 × 196,916.10
  4. Step 4: Simplify right side
    496,364.10x = 146,613,124,128.02
  5. Step 5: Solve for x
    x = 146,613,124,128.02/496,364.10
  6. Step 6: Final answer
    x = 295,374.15

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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.