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Finding the Fourth Proportional to 465,031.68, 641,764.80 and 274,053.12

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Solution

The fourth proportional to 465,031.68, 641,764.80 and 274,053.12 is: 378,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,031.68 : 641,764.80 = 274,053.12 : x
  2. Step 2: Convert to fraction form
    465,031.68/641,764.80 = 274,053.12/x
  3. Step 3: Cross multiply
    465,031.68x = 641,764.80 × 274,053.12
  4. Step 4: Simplify right side
    465,031.68x = 175,877,645,746.18
  5. Step 5: Solve for x
    x = 175,877,645,746.18/465,031.68
  6. Step 6: Final answer
    x = 378,205.73

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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.