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Finding the Fourth Proportional to 521,953.52, 782,370.60 and 341,970.98

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Solution

The fourth proportional to 521,953.52, 782,370.60 and 341,970.98 is: 512,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,953.52 : 782,370.60 = 341,970.98 : x
  2. Step 2: Convert to fraction form
    521,953.52/782,370.60 = 341,970.98/x
  3. Step 3: Cross multiply
    521,953.52x = 782,370.60 × 341,970.98
  4. Step 4: Simplify right side
    521,953.52x = 267,548,040,805.19
  5. Step 5: Solve for x
    x = 267,548,040,805.19/521,953.52
  6. Step 6: Final answer
    x = 512,589.78

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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.