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Finding the Fourth Proportional to 408,051.30, 611,785.35 and 183,227.70

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Solution

The fourth proportional to 408,051.30, 611,785.35 and 183,227.70 is: 274,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.30 : 611,785.35 = 183,227.70 : x
  2. Step 2: Convert to fraction form
    408,051.30/611,785.35 = 183,227.70/x
  3. Step 3: Cross multiply
    408,051.30x = 611,785.35 × 183,227.70
  4. Step 4: Simplify right side
    408,051.30x = 112,096,022,574.20
  5. Step 5: Solve for x
    x = 112,096,022,574.20/408,051.30
  6. Step 6: Final answer
    x = 274,710.61

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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.