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Finding the Fourth Proportional to 506,101.86, 757,571.67 and 337,760.10

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Solution

The fourth proportional to 506,101.86, 757,571.67 and 337,760.10 is: 505,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,101.86 : 757,571.67 = 337,760.10 : x
  2. Step 2: Convert to fraction form
    506,101.86/757,571.67 = 337,760.10/x
  3. Step 3: Cross multiply
    506,101.86x = 757,571.67 × 337,760.10
  4. Step 4: Simplify right side
    506,101.86x = 255,877,483,016.37
  5. Step 5: Solve for x
    x = 255,877,483,016.37/506,101.86
  6. Step 6: Final answer
    x = 505,584.95

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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.