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Finding the Fourth Proportional to 408,042.30, 611,771.85 and 183,218.70

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Solution

The fourth proportional to 408,042.30, 611,771.85 and 183,218.70 is: 274,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,042.30 : 611,771.85 = 183,218.70 : x
  2. Step 2: Convert to fraction form
    408,042.30/611,771.85 = 183,218.70/x
  3. Step 3: Cross multiply
    408,042.30x = 611,771.85 × 183,218.70
  4. Step 4: Simplify right side
    408,042.30x = 112,088,043,053.60
  5. Step 5: Solve for x
    x = 112,088,043,053.60/408,042.30
  6. Step 6: Final answer
    x = 274,697.12

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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.