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Finding the Fourth Proportional to 538,283.80, 809,175.30 and 461,301.40

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Solution

The fourth proportional to 538,283.80, 809,175.30 and 461,301.40 is: 693,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,283.80 : 809,175.30 = 461,301.40 : x
  2. Step 2: Convert to fraction form
    538,283.80/809,175.30 = 461,301.40/x
  3. Step 3: Cross multiply
    538,283.80x = 809,175.30 × 461,301.40
  4. Step 4: Simplify right side
    538,283.80x = 373,273,698,735.42
  5. Step 5: Solve for x
    x = 373,273,698,735.42/538,283.80
  6. Step 6: Final answer
    x = 693,451.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.