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Finding the Fourth Proportional to 540,863.02, 746,445.43 and 299,163.98

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Solution

The fourth proportional to 540,863.02, 746,445.43 and 299,163.98 is: 412,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,863.02 : 746,445.43 = 299,163.98 : x
  2. Step 2: Convert to fraction form
    540,863.02/746,445.43 = 299,163.98/x
  3. Step 3: Cross multiply
    540,863.02x = 746,445.43 × 299,163.98
  4. Step 4: Simplify right side
    540,863.02x = 223,309,586,248.88
  5. Step 5: Solve for x
    x = 223,309,586,248.88/540,863.02
  6. Step 6: Final answer
    x = 412,876.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.