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Finding the Fourth Proportional to 809,420.52, 1,117,002 and 446,844.90

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Solution

The fourth proportional to 809,420.52, 1,117,002 and 446,844.90 is: 616,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,420.52 : 1,117,002 = 446,844.90 : x
  2. Step 2: Convert to fraction form
    809,420.52/1,117,002 = 446,844.90/x
  3. Step 3: Cross multiply
    809,420.52x = 1,117,002 × 446,844.90
  4. Step 4: Simplify right side
    809,420.52x = 499,126,646,989.80
  5. Step 5: Solve for x
    x = 499,126,646,989.80/809,420.52
  6. Step 6: Final answer
    x = 616,646.89

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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.