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Finding the Fourth Proportional to 575,429.20, 862,414.80 and 219,968.80

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Solution

The fourth proportional to 575,429.20, 862,414.80 and 219,968.80 is: 329,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,429.20 : 862,414.80 = 219,968.80 : x
  2. Step 2: Convert to fraction form
    575,429.20/862,414.80 = 219,968.80/x
  3. Step 3: Cross multiply
    575,429.20x = 862,414.80 × 219,968.80
  4. Step 4: Simplify right side
    575,429.20x = 189,704,348,658.24
  5. Step 5: Solve for x
    x = 189,704,348,658.24/575,429.20
  6. Step 6: Final answer
    x = 329,674.53

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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.