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Finding the Fourth Proportional to 295,400.03, 407,649.97 and 161,264.03

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Solution

The fourth proportional to 295,400.03, 407,649.97 and 161,264.03 is: 222,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,400.03 : 407,649.97 = 161,264.03 : x
  2. Step 2: Convert to fraction form
    295,400.03/407,649.97 = 161,264.03/x
  3. Step 3: Cross multiply
    295,400.03x = 407,649.97 × 161,264.03
  4. Step 4: Simplify right side
    295,400.03x = 65,739,277,607.54
  5. Step 5: Solve for x
    x = 65,739,277,607.54/295,400.03
  6. Step 6: Final answer
    x = 222,543.23

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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.