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Finding the Fourth Proportional to 395,266.65, 592,777.62 and 142,514.60

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Solution

The fourth proportional to 395,266.65, 592,777.62 and 142,514.60 is: 213,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,266.65 : 592,777.62 = 142,514.60 : x
  2. Step 2: Convert to fraction form
    395,266.65/592,777.62 = 142,514.60/x
  3. Step 3: Cross multiply
    395,266.65x = 592,777.62 × 142,514.60
  4. Step 4: Simplify right side
    395,266.65x = 84,479,462,439.36
  5. Step 5: Solve for x
    x = 84,479,462,439.36/395,266.65
  6. Step 6: Final answer
    x = 213,727.78

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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.