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Finding the Fourth Proportional to 516,636.29, 774,962.33 and 196,805.91

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Solution

The fourth proportional to 516,636.29, 774,962.33 and 196,805.91 is: 295,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,636.29 : 774,962.33 = 196,805.91 : x
  2. Step 2: Convert to fraction form
    516,636.29/774,962.33 = 196,805.91/x
  3. Step 3: Cross multiply
    516,636.29x = 774,962.33 × 196,805.91
  4. Step 4: Simplify right side
    516,636.29x = 152,517,169,231.47
  5. Step 5: Solve for x
    x = 152,517,169,231.47/516,636.29
  6. Step 6: Final answer
    x = 295,211.88

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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.