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Finding the Fourth Proportional to 295,716.28, 408,088.40 and 161,580.28

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Solution

The fourth proportional to 295,716.28, 408,088.40 and 161,580.28 is: 222,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,716.28 : 408,088.40 = 161,580.28 : x
  2. Step 2: Convert to fraction form
    295,716.28/408,088.40 = 161,580.28/x
  3. Step 3: Cross multiply
    295,716.28x = 408,088.40 × 161,580.28
  4. Step 4: Simplify right side
    295,716.28x = 65,939,037,936.75
  5. Step 5: Solve for x
    x = 65,939,037,936.75/295,716.28
  6. Step 6: Final answer
    x = 222,980.75

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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.