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Finding the Fourth Proportional to 375,044.50, 517,566.27 and 205,274.98

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Solution

The fourth proportional to 375,044.50, 517,566.27 and 205,274.98 is: 283,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,044.50 : 517,566.27 = 205,274.98 : x
  2. Step 2: Convert to fraction form
    375,044.50/517,566.27 = 205,274.98/x
  3. Step 3: Cross multiply
    375,044.50x = 517,566.27 × 205,274.98
  4. Step 4: Simplify right side
    375,044.50x = 106,243,405,722.93
  5. Step 5: Solve for x
    x = 106,243,405,722.93/375,044.50
  6. Step 6: Final answer
    x = 283,282.13

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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.