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Finding the Fourth Proportional to 352,672.80, 529,311.60 and 142,461.60

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Solution

The fourth proportional to 352,672.80, 529,311.60 and 142,461.60 is: 213,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,672.80 : 529,311.60 = 142,461.60 : x
  2. Step 2: Convert to fraction form
    352,672.80/529,311.60 = 142,461.60/x
  3. Step 3: Cross multiply
    352,672.80x = 529,311.60 × 142,461.60
  4. Step 4: Simplify right side
    352,672.80x = 75,406,577,434.56
  5. Step 5: Solve for x
    x = 75,406,577,434.56/352,672.80
  6. Step 6: Final answer
    x = 213,814.55

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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.