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Finding the Fourth Proportional to 643,169.70, 886,847.29 and 410,285.98

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Solution

The fourth proportional to 643,169.70, 886,847.29 and 410,285.98 is: 565,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,169.70 : 886,847.29 = 410,285.98 : x
  2. Step 2: Convert to fraction form
    643,169.70/886,847.29 = 410,285.98/x
  3. Step 3: Cross multiply
    643,169.70x = 886,847.29 × 410,285.98
  4. Step 4: Simplify right side
    643,169.70x = 363,861,014,949.95
  5. Step 5: Solve for x
    x = 363,861,014,949.95/643,169.70
  6. Step 6: Final answer
    x = 565,730.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.