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Finding the Fourth Proportional to 319,514.26, 440,914.28 and 174,311.39

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Solution

The fourth proportional to 319,514.26, 440,914.28 and 174,311.39 is: 240,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,514.26 : 440,914.28 = 174,311.39 : x
  2. Step 2: Convert to fraction form
    319,514.26/440,914.28 = 174,311.39/x
  3. Step 3: Cross multiply
    319,514.26x = 440,914.28 × 174,311.39
  4. Step 4: Simplify right side
    319,514.26x = 76,856,381,017.65
  5. Step 5: Solve for x
    x = 76,856,381,017.65/319,514.26
  6. Step 6: Final answer
    x = 240,541.32

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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.