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Finding the Fourth Proportional to 295,400.47, 407,650.58 and 161,264.47

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Solution

The fourth proportional to 295,400.47, 407,650.58 and 161,264.47 is: 222,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,400.47 : 407,650.58 = 161,264.47 : x
  2. Step 2: Convert to fraction form
    295,400.47/407,650.58 = 161,264.47/x
  3. Step 3: Cross multiply
    295,400.47x = 407,650.58 × 161,264.47
  4. Step 4: Simplify right side
    295,400.47x = 65,739,553,922.57
  5. Step 5: Solve for x
    x = 65,739,553,922.57/295,400.47
  6. Step 6: Final answer
    x = 222,543.84

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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.