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Finding the Fourth Proportional to 270,447.36, 373,214.16 and 149,579.16

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Solution

The fourth proportional to 270,447.36, 373,214.16 and 149,579.16 is: 206,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,447.36 : 373,214.16 = 149,579.16 : x
  2. Step 2: Convert to fraction form
    270,447.36/373,214.16 = 149,579.16/x
  3. Step 3: Cross multiply
    270,447.36x = 373,214.16 × 149,579.16
  4. Step 4: Simplify right side
    270,447.36x = 55,825,060,552.91
  5. Step 5: Solve for x
    x = 55,825,060,552.91/270,447.36
  6. Step 6: Final answer
    x = 206,417.47

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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.