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Finding the Fourth Proportional to 516,637.29, 774,963.83 and 196,806.91

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Solution

The fourth proportional to 516,637.29, 774,963.83 and 196,806.91 is: 295,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,637.29 : 774,963.83 = 196,806.91 : x
  2. Step 2: Convert to fraction form
    516,637.29/774,963.83 = 196,806.91/x
  3. Step 3: Cross multiply
    516,637.29x = 774,963.83 × 196,806.91
  4. Step 4: Simplify right side
    516,637.29x = 152,518,236,744.07
  5. Step 5: Solve for x
    x = 152,518,236,744.07/516,637.29
  6. Step 6: Final answer
    x = 295,213.37

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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.