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Finding the Fourth Proportional to 521,704.20, 782,556.30 and 514,705.80

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Solution

The fourth proportional to 521,704.20, 782,556.30 and 514,705.80 is: 772,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,704.20 : 782,556.30 = 514,705.80 : x
  2. Step 2: Convert to fraction form
    521,704.20/782,556.30 = 514,705.80/x
  3. Step 3: Cross multiply
    521,704.20x = 782,556.30 × 514,705.80
  4. Step 4: Simplify right side
    521,704.20x = 402,786,266,436.54
  5. Step 5: Solve for x
    x = 402,786,266,436.54/521,704.20
  6. Step 6: Final answer
    x = 772,058.70

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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.