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Finding the Fourth Proportional to 686,947.86, 947,794.23 and 445,240.62

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Solution

The fourth proportional to 686,947.86, 947,794.23 and 445,240.62 is: 614,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,947.86 : 947,794.23 = 445,240.62 : x
  2. Step 2: Convert to fraction form
    686,947.86/947,794.23 = 445,240.62/x
  3. Step 3: Cross multiply
    686,947.86x = 947,794.23 × 445,240.62
  4. Step 4: Simplify right side
    686,947.86x = 421,996,490,597.62
  5. Step 5: Solve for x
    x = 421,996,490,597.62/686,947.86
  6. Step 6: Final answer
    x = 614,306.43

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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.