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Finding the Fourth Proportional to 397,380.80, 596,727.30 and 264,848.60

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Solution

The fourth proportional to 397,380.80, 596,727.30 and 264,848.60 is: 397,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,380.80 : 596,727.30 = 264,848.60 : x
  2. Step 2: Convert to fraction form
    397,380.80/596,727.30 = 264,848.60/x
  3. Step 3: Cross multiply
    397,380.80x = 596,727.30 × 264,848.60
  4. Step 4: Simplify right side
    397,380.80x = 158,042,389,986.78
  5. Step 5: Solve for x
    x = 158,042,389,986.78/397,380.80
  6. Step 6: Final answer
    x = 397,710.18

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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.