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Finding the Fourth Proportional to 516,158.60, 774,061.40 and 196,233.30

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Solution

The fourth proportional to 516,158.60, 774,061.40 and 196,233.30 is: 294,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,158.60 : 774,061.40 = 196,233.30 : x
  2. Step 2: Convert to fraction form
    516,158.60/774,061.40 = 196,233.30/x
  3. Step 3: Cross multiply
    516,158.60x = 774,061.40 × 196,233.30
  4. Step 4: Simplify right side
    516,158.60x = 151,896,621,943.45
  5. Step 5: Solve for x
    x = 151,896,621,943.45/516,158.60
  6. Step 6: Final answer
    x = 294,282.85

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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.