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Finding the Fourth Proportional to 520,684.52, 780,727.84 and 204,969.20

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Solution

The fourth proportional to 520,684.52, 780,727.84 and 204,969.20 is: 307,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,684.52 : 780,727.84 = 204,969.20 : x
  2. Step 2: Convert to fraction form
    520,684.52/780,727.84 = 204,969.20/x
  3. Step 3: Cross multiply
    520,684.52x = 780,727.84 × 204,969.20
  4. Step 4: Simplify right side
    520,684.52x = 160,025,160,782.53
  5. Step 5: Solve for x
    x = 160,025,160,782.53/520,684.52
  6. Step 6: Final answer
    x = 307,336.12

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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.