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Finding the Fourth Proportional to 407,836.75, 562,830.51 and 226,562.44

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Solution

The fourth proportional to 407,836.75, 562,830.51 and 226,562.44 is: 312,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,836.75 : 562,830.51 = 226,562.44 : x
  2. Step 2: Convert to fraction form
    407,836.75/562,830.51 = 226,562.44/x
  3. Step 3: Cross multiply
    407,836.75x = 562,830.51 × 226,562.44
  4. Step 4: Simplify right side
    407,836.75x = 127,516,253,652.04
  5. Step 5: Solve for x
    x = 127,516,253,652.04/407,836.75
  6. Step 6: Final answer
    x = 312,664.94

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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.