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Finding the Fourth Proportional to 431,750.82, 647,769.60 and 191,831.34

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Solution

The fourth proportional to 431,750.82, 647,769.60 and 191,831.34 is: 287,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,750.82 : 647,769.60 = 191,831.34 : x
  2. Step 2: Convert to fraction form
    431,750.82/647,769.60 = 191,831.34/x
  3. Step 3: Cross multiply
    431,750.82x = 647,769.60 × 191,831.34
  4. Step 4: Simplify right side
    431,750.82x = 124,262,510,379.26
  5. Step 5: Solve for x
    x = 124,262,510,379.26/431,750.82
  6. Step 6: Final answer
    x = 287,810.71

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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.