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Finding the Fourth Proportional to 538,302.69, 806,692.33 and 298,522.06

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Solution

The fourth proportional to 538,302.69, 806,692.33 and 298,522.06 is: 447,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,302.69 : 806,692.33 = 298,522.06 : x
  2. Step 2: Convert to fraction form
    538,302.69/806,692.33 = 298,522.06/x
  3. Step 3: Cross multiply
    538,302.69x = 806,692.33 × 298,522.06
  4. Step 4: Simplify right side
    538,302.69x = 240,815,456,137.80
  5. Step 5: Solve for x
    x = 240,815,456,137.80/538,302.69
  6. Step 6: Final answer
    x = 447,360.68

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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.