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Finding the Fourth Proportional to 441,729.88, 662,657.46 and 142,140.86

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Solution

The fourth proportional to 441,729.88, 662,657.46 and 142,140.86 is: 213,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,729.88 : 662,657.46 = 142,140.86 : x
  2. Step 2: Convert to fraction form
    441,729.88/662,657.46 = 142,140.86/x
  3. Step 3: Cross multiply
    441,729.88x = 662,657.46 × 142,140.86
  4. Step 4: Simplify right side
    441,729.88x = 94,190,701,249.82
  5. Step 5: Solve for x
    x = 94,190,701,249.82/441,729.88
  6. Step 6: Final answer
    x = 213,231.45

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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.