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Finding the Fourth Proportional to 337,658.06, 506,513.70 and 113,019.30

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Solution

The fourth proportional to 337,658.06, 506,513.70 and 113,019.30 is: 169,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,658.06 : 506,513.70 = 113,019.30 : x
  2. Step 2: Convert to fraction form
    337,658.06/506,513.70 = 113,019.30/x
  3. Step 3: Cross multiply
    337,658.06x = 506,513.70 × 113,019.30
  4. Step 4: Simplify right side
    337,658.06x = 57,245,823,814.41
  5. Step 5: Solve for x
    x = 57,245,823,814.41/337,658.06
  6. Step 6: Final answer
    x = 169,537.86

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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.