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Finding the Fourth Proportional to 521,580.48, 782,633.16 and 388,727.52

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Solution

The fourth proportional to 521,580.48, 782,633.16 and 388,727.52 is: 583,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,580.48 : 782,633.16 = 388,727.52 : x
  2. Step 2: Convert to fraction form
    521,580.48/782,633.16 = 388,727.52/x
  3. Step 3: Cross multiply
    521,580.48x = 782,633.16 × 388,727.52
  4. Step 4: Simplify right side
    521,580.48x = 304,231,047,356.56
  5. Step 5: Solve for x
    x = 304,231,047,356.56/521,580.48
  6. Step 6: Final answer
    x = 583,286.87

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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.