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Finding the Fourth Proportional to 363,006.80, 545,093.40 and 274,360.40

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Solution

The fourth proportional to 363,006.80, 545,093.40 and 274,360.40 is: 411,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,006.80 : 545,093.40 = 274,360.40 : x
  2. Step 2: Convert to fraction form
    363,006.80/545,093.40 = 274,360.40/x
  3. Step 3: Cross multiply
    363,006.80x = 545,093.40 × 274,360.40
  4. Step 4: Simplify right side
    363,006.80x = 149,552,043,261.36
  5. Step 5: Solve for x
    x = 149,552,043,261.36/363,006.80
  6. Step 6: Final answer
    x = 411,981.38

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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.