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Finding the Fourth Proportional to 472,185.80, 708,487.83 and 247,492.82

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Solution

The fourth proportional to 472,185.80, 708,487.83 and 247,492.82 is: 371,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,185.80 : 708,487.83 = 247,492.82 : x
  2. Step 2: Convert to fraction form
    472,185.80/708,487.83 = 247,492.82/x
  3. Step 3: Cross multiply
    472,185.80x = 708,487.83 × 247,492.82
  4. Step 4: Simplify right side
    472,185.80x = 175,345,647,439.94
  5. Step 5: Solve for x
    x = 175,345,647,439.94/472,185.80
  6. Step 6: Final answer
    x = 371,348.84

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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.