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Finding the Fourth Proportional to 399,043.71, 598,559.22 and 185,692.28

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Solution

The fourth proportional to 399,043.71, 598,559.22 and 185,692.28 is: 278,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,043.71 : 598,559.22 = 185,692.28 : x
  2. Step 2: Convert to fraction form
    399,043.71/598,559.22 = 185,692.28/x
  3. Step 3: Cross multiply
    399,043.71x = 598,559.22 × 185,692.28
  4. Step 4: Simplify right side
    399,043.71x = 111,147,823,284.03
  5. Step 5: Solve for x
    x = 111,147,823,284.03/399,043.71
  6. Step 6: Final answer
    x = 278,535.46

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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.