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Finding the Fourth Proportional to 540,874.08, 746,375.58 and 299,142.54

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Solution

The fourth proportional to 540,874.08, 746,375.58 and 299,142.54 is: 412,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,874.08 : 746,375.58 = 299,142.54 : x
  2. Step 2: Convert to fraction form
    540,874.08/746,375.58 = 299,142.54/x
  3. Step 3: Cross multiply
    540,874.08x = 746,375.58 × 299,142.54
  4. Step 4: Simplify right side
    540,874.08x = 223,272,686,795.17
  5. Step 5: Solve for x
    x = 223,272,686,795.17/540,874.08
  6. Step 6: Final answer
    x = 412,799.75

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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.