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Finding the Fourth Proportional to 356,582.76, 492,081.94 and 195,447.84

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Solution

The fourth proportional to 356,582.76, 492,081.94 and 195,447.84 is: 269,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,582.76 : 492,081.94 = 195,447.84 : x
  2. Step 2: Convert to fraction form
    356,582.76/492,081.94 = 195,447.84/x
  3. Step 3: Cross multiply
    356,582.76x = 492,081.94 × 195,447.84
  4. Step 4: Simplify right side
    356,582.76x = 96,176,349,575.62
  5. Step 5: Solve for x
    x = 96,176,349,575.62/356,582.76
  6. Step 6: Final answer
    x = 269,716.77

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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.