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Finding the Fourth Proportional to 447,467.49, 617,365.80 and 253,843.07

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Solution

The fourth proportional to 447,467.49, 617,365.80 and 253,843.07 is: 350,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,467.49 : 617,365.80 = 253,843.07 : x
  2. Step 2: Convert to fraction form
    447,467.49/617,365.80 = 253,843.07/x
  3. Step 3: Cross multiply
    447,467.49x = 617,365.80 × 253,843.07
  4. Step 4: Simplify right side
    447,467.49x = 156,714,026,898.18
  5. Step 5: Solve for x
    x = 156,714,026,898.18/447,467.49
  6. Step 6: Final answer
    x = 350,224.39

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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.