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Finding the Fourth Proportional to 431,751.32, 647,770.35 and 191,831.84

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Solution

The fourth proportional to 431,751.32, 647,770.35 and 191,831.84 is: 287,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,751.32 : 647,770.35 = 191,831.84 : x
  2. Step 2: Convert to fraction form
    431,751.32/647,770.35 = 191,831.84/x
  3. Step 3: Cross multiply
    431,751.32x = 647,770.35 × 191,831.84
  4. Step 4: Simplify right side
    431,751.32x = 124,262,978,137.94
  5. Step 5: Solve for x
    x = 124,262,978,137.94/431,751.32
  6. Step 6: Final answer
    x = 287,811.46

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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.