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Finding the Fourth Proportional to 410,024.07, 615,014.22 and 110,499.84

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Solution

The fourth proportional to 410,024.07, 615,014.22 and 110,499.84 is: 165,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,024.07 : 615,014.22 = 110,499.84 : x
  2. Step 2: Convert to fraction form
    410,024.07/615,014.22 = 110,499.84/x
  3. Step 3: Cross multiply
    410,024.07x = 615,014.22 × 110,499.84
  4. Step 4: Simplify right side
    410,024.07x = 67,958,972,907.72
  5. Step 5: Solve for x
    x = 67,958,972,907.72/410,024.07
  6. Step 6: Final answer
    x = 165,743.86

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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.