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Finding the Fourth Proportional to 375,031.98, 517,524.27 and 205,233.30

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Solution

The fourth proportional to 375,031.98, 517,524.27 and 205,233.30 is: 283,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,031.98 : 517,524.27 = 205,233.30 : x
  2. Step 2: Convert to fraction form
    375,031.98/517,524.27 = 205,233.30/x
  3. Step 3: Cross multiply
    375,031.98x = 517,524.27 × 205,233.30
  4. Step 4: Simplify right side
    375,031.98x = 106,213,213,762.19
  5. Step 5: Solve for x
    x = 106,213,213,762.19/375,031.98
  6. Step 6: Final answer
    x = 283,211.08

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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.