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Finding the Fourth Proportional to 535,267.90, 802,860.13 and 198,149.95

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Solution

The fourth proportional to 535,267.90, 802,860.13 and 198,149.95 is: 297,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,267.90 : 802,860.13 = 198,149.95 : x
  2. Step 2: Convert to fraction form
    535,267.90/802,860.13 = 198,149.95/x
  3. Step 3: Cross multiply
    535,267.90x = 802,860.13 × 198,149.95
  4. Step 4: Simplify right side
    535,267.90x = 159,086,694,616.49
  5. Step 5: Solve for x
    x = 159,086,694,616.49/535,267.90
  6. Step 6: Final answer
    x = 297,209.48

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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.