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Finding the Fourth Proportional to 475,797, 656,599.86 and 263,829

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Solution

The fourth proportional to 475,797, 656,599.86 and 263,829 is: 364,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,797 : 656,599.86 = 263,829 : x
  2. Step 2: Convert to fraction form
    475,797/656,599.86 = 263,829/x
  3. Step 3: Cross multiply
    475,797x = 656,599.86 × 263,829
  4. Step 4: Simplify right side
    475,797x = 173,230,084,463.94
  5. Step 5: Solve for x
    x = 173,230,084,463.94/475,797
  6. Step 6: Final answer
    x = 364,084.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.