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Finding the Fourth Proportional to 295,568.88, 407,882.52 and 161,430

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Solution

The fourth proportional to 295,568.88, 407,882.52 and 161,430 is: 222,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,568.88 : 407,882.52 = 161,430 : x
  2. Step 2: Convert to fraction form
    295,568.88/407,882.52 = 161,430/x
  3. Step 3: Cross multiply
    295,568.88x = 407,882.52 × 161,430
  4. Step 4: Simplify right side
    295,568.88x = 65,844,475,203.60
  5. Step 5: Solve for x
    x = 65,844,475,203.60/295,568.88
  6. Step 6: Final answer
    x = 222,772.02

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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.