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Finding the Fourth Proportional to 543,646.40, 815,599.20 and 262,932.80

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Solution

The fourth proportional to 543,646.40, 815,599.20 and 262,932.80 is: 394,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,646.40 : 815,599.20 = 262,932.80 : x
  2. Step 2: Convert to fraction form
    543,646.40/815,599.20 = 262,932.80/x
  3. Step 3: Cross multiply
    543,646.40x = 815,599.20 × 262,932.80
  4. Step 4: Simplify right side
    543,646.40x = 214,447,781,333.76
  5. Step 5: Solve for x
    x = 214,447,781,333.76/543,646.40
  6. Step 6: Final answer
    x = 394,461.88

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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.