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Finding the Fourth Proportional to 408,106.15, 611,866.71 and 191,843.74

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Solution

The fourth proportional to 408,106.15, 611,866.71 and 191,843.74 is: 287,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106.15 : 611,866.71 = 191,843.74 : x
  2. Step 2: Convert to fraction form
    408,106.15/611,866.71 = 191,843.74/x
  3. Step 3: Cross multiply
    408,106.15x = 611,866.71 × 191,843.74
  4. Step 4: Simplify right side
    408,106.15x = 117,382,798,792.73
  5. Step 5: Solve for x
    x = 117,382,798,792.73/408,106.15
  6. Step 6: Final answer
    x = 287,628.11

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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.