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Finding the Fourth Proportional to 295,488, 407,773.44 and 161,352

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Solution

The fourth proportional to 295,488, 407,773.44 and 161,352 is: 222,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488 : 407,773.44 = 161,352 : x
  2. Step 2: Convert to fraction form
    295,488/407,773.44 = 161,352/x
  3. Step 3: Cross multiply
    295,488x = 407,773.44 × 161,352
  4. Step 4: Simplify right side
    295,488x = 65,795,060,090.88
  5. Step 5: Solve for x
    x = 65,795,060,090.88/295,488
  6. Step 6: Final answer
    x = 222,665.76

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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.