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Finding the Fourth Proportional to 536,067.86, 803,478.68 and 198,893.45

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Solution

The fourth proportional to 536,067.86, 803,478.68 and 198,893.45 is: 298,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,067.86 : 803,478.68 = 198,893.45 : x
  2. Step 2: Convert to fraction form
    536,067.86/803,478.68 = 198,893.45/x
  3. Step 3: Cross multiply
    536,067.86x = 803,478.68 × 198,893.45
  4. Step 4: Simplify right side
    536,067.86x = 159,806,646,726.33
  5. Step 5: Solve for x
    x = 159,806,646,726.33/536,067.86
  6. Step 6: Final answer
    x = 298,108.99

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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.