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Finding the Fourth Proportional to 319,001.82, 477,714.87 and 237,754.04

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Solution

The fourth proportional to 319,001.82, 477,714.87 and 237,754.04 is: 356,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,001.82 : 477,714.87 = 237,754.04 : x
  2. Step 2: Convert to fraction form
    319,001.82/477,714.87 = 237,754.04/x
  3. Step 3: Cross multiply
    319,001.82x = 477,714.87 × 237,754.04
  4. Step 4: Simplify right side
    319,001.82x = 113,578,640,605.01
  5. Step 5: Solve for x
    x = 113,578,640,605.01/319,001.82
  6. Step 6: Final answer
    x = 356,043.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.