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Finding the Fourth Proportional to 700,945.78, 967,628.10 and 410,516.98

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Solution

The fourth proportional to 700,945.78, 967,628.10 and 410,516.98 is: 566,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,945.78 : 967,628.10 = 410,516.98 : x
  2. Step 2: Convert to fraction form
    700,945.78/967,628.10 = 410,516.98/x
  3. Step 3: Cross multiply
    700,945.78x = 967,628.10 × 410,516.98
  4. Step 4: Simplify right side
    700,945.78x = 397,227,765,375.14
  5. Step 5: Solve for x
    x = 397,227,765,375.14/700,945.78
  6. Step 6: Final answer
    x = 566,702.56

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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.