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Finding the Fourth Proportional to 375,033.48, 517,526.34 and 205,234.80

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Solution

The fourth proportional to 375,033.48, 517,526.34 and 205,234.80 is: 283,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,033.48 : 517,526.34 = 205,234.80 : x
  2. Step 2: Convert to fraction form
    375,033.48/517,526.34 = 205,234.80/x
  3. Step 3: Cross multiply
    375,033.48x = 517,526.34 × 205,234.80
  4. Step 4: Simplify right side
    375,033.48x = 106,214,414,884.63
  5. Step 5: Solve for x
    x = 106,214,414,884.63/375,033.48
  6. Step 6: Final answer
    x = 283,213.15

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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.