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Finding the Fourth Proportional to 512,148.01, 707,029.70 and 374,172

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Solution

The fourth proportional to 512,148.01, 707,029.70 and 374,172 is: 516,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,148.01 : 707,029.70 = 374,172 : x
  2. Step 2: Convert to fraction form
    512,148.01/707,029.70 = 374,172/x
  3. Step 3: Cross multiply
    512,148.01x = 707,029.70 × 374,172
  4. Step 4: Simplify right side
    512,148.01x = 264,550,715,037.54
  5. Step 5: Solve for x
    x = 264,550,715,037.54/512,148.01
  6. Step 6: Final answer
    x = 516,551.29

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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.