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Finding the Fourth Proportional to 701,152, 967,589.76 and 399,520.96

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Solution

The fourth proportional to 701,152, 967,589.76 and 399,520.96 is: 551,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,152 : 967,589.76 = 399,520.96 : x
  2. Step 2: Convert to fraction form
    701,152/967,589.76 = 399,520.96/x
  3. Step 3: Cross multiply
    701,152x = 967,589.76 × 399,520.96
  4. Step 4: Simplify right side
    701,152x = 386,572,389,801.37
  5. Step 5: Solve for x
    x = 386,572,389,801.37/701,152
  6. Step 6: Final answer
    x = 551,338.92

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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.