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Finding the Fourth Proportional to 356,839, 492,437.82 and 197,863

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Solution

The fourth proportional to 356,839, 492,437.82 and 197,863 is: 273,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,839 : 492,437.82 = 197,863 : x
  2. Step 2: Convert to fraction form
    356,839/492,437.82 = 197,863/x
  3. Step 3: Cross multiply
    356,839x = 492,437.82 × 197,863
  4. Step 4: Simplify right side
    356,839x = 97,435,224,378.66
  5. Step 5: Solve for x
    x = 97,435,224,378.66/356,839
  6. Step 6: Final answer
    x = 273,050.94

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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.