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Finding the Fourth Proportional to 701,004.50, 967,227.81 and 414,536.66

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Solution

The fourth proportional to 701,004.50, 967,227.81 and 414,536.66 is: 571,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,004.50 : 967,227.81 = 414,536.66 : x
  2. Step 2: Convert to fraction form
    701,004.50/967,227.81 = 414,536.66/x
  3. Step 3: Cross multiply
    701,004.50x = 967,227.81 × 414,536.66
  4. Step 4: Simplify right side
    701,004.50x = 400,951,385,816.52
  5. Step 5: Solve for x
    x = 400,951,385,816.52/701,004.50
  6. Step 6: Final answer
    x = 571,966.92

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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.