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Finding the Fourth Proportional to 410,188.86, 615,326.22 and 110,671.92

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Solution

The fourth proportional to 410,188.86, 615,326.22 and 110,671.92 is: 166,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,188.86 : 615,326.22 = 110,671.92 : x
  2. Step 2: Convert to fraction form
    410,188.86/615,326.22 = 110,671.92/x
  3. Step 3: Cross multiply
    410,188.86x = 615,326.22 × 110,671.92
  4. Step 4: Simplify right side
    410,188.86x = 68,099,334,193.74
  5. Step 5: Solve for x
    x = 68,099,334,193.74/410,188.86
  6. Step 6: Final answer
    x = 166,019.46

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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.