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Finding the Fourth Proportional to 352,884.80, 529,323.68 and 142,519.84

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Solution

The fourth proportional to 352,884.80, 529,323.68 and 142,519.84 is: 213,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,884.80 : 529,323.68 = 142,519.84 : x
  2. Step 2: Convert to fraction form
    352,884.80/529,323.68 = 142,519.84/x
  3. Step 3: Cross multiply
    352,884.80x = 529,323.68 × 142,519.84
  4. Step 4: Simplify right side
    352,884.80x = 75,439,126,181.81
  5. Step 5: Solve for x
    x = 75,439,126,181.81/352,884.80
  6. Step 6: Final answer
    x = 213,778.34

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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.