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Finding the Fourth Proportional to 473,323.80, 709,640.10 and 192,696.60

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Solution

The fourth proportional to 473,323.80, 709,640.10 and 192,696.60 is: 288,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,323.80 : 709,640.10 = 192,696.60 : x
  2. Step 2: Convert to fraction form
    473,323.80/709,640.10 = 192,696.60/x
  3. Step 3: Cross multiply
    473,323.80x = 709,640.10 × 192,696.60
  4. Step 4: Simplify right side
    473,323.80x = 136,745,234,493.66
  5. Step 5: Solve for x
    x = 136,745,234,493.66/473,323.80
  6. Step 6: Final answer
    x = 288,904.20

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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.