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Finding the Fourth Proportional to 521,018.80, 782,330.10 and 284,822.80

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Solution

The fourth proportional to 521,018.80, 782,330.10 and 284,822.80 is: 427,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,018.80 : 782,330.10 = 284,822.80 : x
  2. Step 2: Convert to fraction form
    521,018.80/782,330.10 = 284,822.80/x
  3. Step 3: Cross multiply
    521,018.80x = 782,330.10 × 284,822.80
  4. Step 4: Simplify right side
    521,018.80x = 222,825,449,606.28
  5. Step 5: Solve for x
    x = 222,825,449,606.28/521,018.80
  6. Step 6: Final answer
    x = 427,672.57

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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.