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Finding the Fourth Proportional to 407,635.98, 562,582.61 and 233,222.38

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Solution

The fourth proportional to 407,635.98, 562,582.61 and 233,222.38 is: 321,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,635.98 : 562,582.61 = 233,222.38 : x
  2. Step 2: Convert to fraction form
    407,635.98/562,582.61 = 233,222.38/x
  3. Step 3: Cross multiply
    407,635.98x = 562,582.61 × 233,222.38
  4. Step 4: Simplify right side
    407,635.98x = 131,206,855,250.81
  5. Step 5: Solve for x
    x = 131,206,855,250.81/407,635.98
  6. Step 6: Final answer
    x = 321,872.61

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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.