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Finding the Fourth Proportional to 513,467.98, 708,531.27 and 283,988.80

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Solution

The fourth proportional to 513,467.98, 708,531.27 and 283,988.80 is: 391,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,467.98 : 708,531.27 = 283,988.80 : x
  2. Step 2: Convert to fraction form
    513,467.98/708,531.27 = 283,988.80/x
  3. Step 3: Cross multiply
    513,467.98x = 708,531.27 × 283,988.80
  4. Step 4: Simplify right side
    513,467.98x = 201,214,945,129.78
  5. Step 5: Solve for x
    x = 201,214,945,129.78/513,467.98
  6. Step 6: Final answer
    x = 391,874.38

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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.