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Finding the Fourth Proportional to 543,336.30, 815,113.80 and 455,200.20

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Solution

The fourth proportional to 543,336.30, 815,113.80 and 455,200.20 is: 682,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,336.30 : 815,113.80 = 455,200.20 : x
  2. Step 2: Convert to fraction form
    543,336.30/815,113.80 = 455,200.20/x
  3. Step 3: Cross multiply
    543,336.30x = 815,113.80 × 455,200.20
  4. Step 4: Simplify right side
    543,336.30x = 371,039,964,782.76
  5. Step 5: Solve for x
    x = 371,039,964,782.76/543,336.30
  6. Step 6: Final answer
    x = 682,891.91

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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.