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Finding the Fourth Proportional to 420,917.54, 580,844.54 and 229,894.02

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Solution

The fourth proportional to 420,917.54, 580,844.54 and 229,894.02 is: 317,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,917.54 : 580,844.54 = 229,894.02 : x
  2. Step 2: Convert to fraction form
    420,917.54/580,844.54 = 229,894.02/x
  3. Step 3: Cross multiply
    420,917.54x = 580,844.54 × 229,894.02
  4. Step 4: Simplify right side
    420,917.54x = 133,532,685,146.18
  5. Step 5: Solve for x
    x = 133,532,685,146.18/420,917.54
  6. Step 6: Final answer
    x = 317,241.92

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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.