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Finding the Fourth Proportional to 414,992.70, 572,682.15 and 253,835.91

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Solution

The fourth proportional to 414,992.70, 572,682.15 and 253,835.91 is: 350,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,992.70 : 572,682.15 = 253,835.91 : x
  2. Step 2: Convert to fraction form
    414,992.70/572,682.15 = 253,835.91/x
  3. Step 3: Cross multiply
    414,992.70x = 572,682.15 × 253,835.91
  4. Step 4: Simplify right side
    414,992.70x = 145,367,294,686.01
  5. Step 5: Solve for x
    x = 145,367,294,686.01/414,992.70
  6. Step 6: Final answer
    x = 350,288.80

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Why These Related Problems?

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