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Finding the Fourth Proportional to 711,682.80, 982,097.83 and 405,857.61

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Solution

The fourth proportional to 711,682.80, 982,097.83 and 405,857.61 is: 560,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,682.80 : 982,097.83 = 405,857.61 : x
  2. Step 2: Convert to fraction form
    711,682.80/982,097.83 = 405,857.61/x
  3. Step 3: Cross multiply
    711,682.80x = 982,097.83 × 405,857.61
  4. Step 4: Simplify right side
    711,682.80x = 398,591,878,069.99
  5. Step 5: Solve for x
    x = 398,591,878,069.99/711,682.80
  6. Step 6: Final answer
    x = 560,069.57

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1.5x scale

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.