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Finding the Fourth Proportional to 344,841.50, 475,809.92 and 201,573.82

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Solution

The fourth proportional to 344,841.50, 475,809.92 and 201,573.82 is: 278,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,841.50 : 475,809.92 = 201,573.82 : x
  2. Step 2: Convert to fraction form
    344,841.50/475,809.92 = 201,573.82/x
  3. Step 3: Cross multiply
    344,841.50x = 475,809.92 × 201,573.82
  4. Step 4: Simplify right side
    344,841.50x = 95,910,823,168.29
  5. Step 5: Solve for x
    x = 95,910,823,168.29/344,841.50
  6. Step 6: Final answer
    x = 278,130.16

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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.