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Finding the Fourth Proportional to 355,150.95, 532,722.78 and 205,295.90

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Solution

The fourth proportional to 355,150.95, 532,722.78 and 205,295.90 is: 307,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,150.95 : 532,722.78 = 205,295.90 : x
  2. Step 2: Convert to fraction form
    355,150.95/532,722.78 = 205,295.90/x
  3. Step 3: Cross multiply
    355,150.95x = 532,722.78 × 205,295.90
  4. Step 4: Simplify right side
    355,150.95x = 109,365,799,906.99
  5. Step 5: Solve for x
    x = 109,365,799,906.99/355,150.95
  6. Step 6: Final answer
    x = 307,941.74

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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.