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Finding the Fourth Proportional to 601,198.02, 829,658.79 and 410,207.31

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Solution

The fourth proportional to 601,198.02, 829,658.79 and 410,207.31 is: 566,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,198.02 : 829,658.79 = 410,207.31 : x
  2. Step 2: Convert to fraction form
    601,198.02/829,658.79 = 410,207.31/x
  3. Step 3: Cross multiply
    601,198.02x = 829,658.79 × 410,207.31
  4. Step 4: Simplify right side
    601,198.02x = 340,332,100,463.76
  5. Step 5: Solve for x
    x = 340,332,100,463.76/601,198.02
  6. Step 6: Final answer
    x = 566,089.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.