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Finding the Fourth Proportional to 326,156.98, 450,145.84 and 198,906.40

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Solution

The fourth proportional to 326,156.98, 450,145.84 and 198,906.40 is: 274,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,156.98 : 450,145.84 = 198,906.40 : x
  2. Step 2: Convert to fraction form
    326,156.98/450,145.84 = 198,906.40/x
  3. Step 3: Cross multiply
    326,156.98x = 450,145.84 × 198,906.40
  4. Step 4: Simplify right side
    326,156.98x = 89,536,888,509.38
  5. Step 5: Solve for x
    x = 89,536,888,509.38/326,156.98
  6. Step 6: Final answer
    x = 274,520.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.