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Finding the Fourth Proportional to 414,582.17, 620,876.71 and 236,549.44

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Solution

The fourth proportional to 414,582.17, 620,876.71 and 236,549.44 is: 354,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,582.17 : 620,876.71 = 236,549.44 : x
  2. Step 2: Convert to fraction form
    414,582.17/620,876.71 = 236,549.44/x
  3. Step 3: Cross multiply
    414,582.17x = 620,876.71 × 236,549.44
  4. Step 4: Simplify right side
    414,582.17x = 146,868,038,059.54
  5. Step 5: Solve for x
    x = 146,868,038,059.54/414,582.17
  6. Step 6: Final answer
    x = 354,255.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.