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Finding the Fourth Proportional to 337,835.80, 506,462.10 and 171,623.80

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Solution

The fourth proportional to 337,835.80, 506,462.10 and 171,623.80 is: 257,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,835.80 : 506,462.10 = 171,623.80 : x
  2. Step 2: Convert to fraction form
    337,835.80/506,462.10 = 171,623.80/x
  3. Step 3: Cross multiply
    337,835.80x = 506,462.10 × 171,623.80
  4. Step 4: Simplify right side
    337,835.80x = 86,920,950,157.98
  5. Step 5: Solve for x
    x = 86,920,950,157.98/337,835.80
  6. Step 6: Final answer
    x = 257,287.56

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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.