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Finding the Fourth Proportional to 295,410.24, 407,664 and 161,274.24

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Solution

The fourth proportional to 295,410.24, 407,664 and 161,274.24 is: 222,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,410.24 : 407,664 = 161,274.24 : x
  2. Step 2: Convert to fraction form
    295,410.24/407,664 = 161,274.24/x
  3. Step 3: Cross multiply
    295,410.24x = 407,664 × 161,274.24
  4. Step 4: Simplify right side
    295,410.24x = 65,745,701,775.36
  5. Step 5: Solve for x
    x = 65,745,701,775.36/295,410.24
  6. Step 6: Final answer
    x = 222,557.29

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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.