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Finding the Fourth Proportional to 462,704.24, 693,798.46 and 142,765.27

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Solution

The fourth proportional to 462,704.24, 693,798.46 and 142,765.27 is: 214,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,704.24 : 693,798.46 = 142,765.27 : x
  2. Step 2: Convert to fraction form
    462,704.24/693,798.46 = 142,765.27/x
  3. Step 3: Cross multiply
    462,704.24x = 693,798.46 × 142,765.27
  4. Step 4: Simplify right side
    462,704.24x = 99,050,324,467.48
  5. Step 5: Solve for x
    x = 99,050,324,467.48/462,704.24
  6. Step 6: Final answer
    x = 214,068.33

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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.