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Finding the Fourth Proportional to 283,952.35, 426,009 and 115,593.45

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Solution

The fourth proportional to 283,952.35, 426,009 and 115,593.45 is: 173,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,952.35 : 426,009 = 115,593.45 : x
  2. Step 2: Convert to fraction form
    283,952.35/426,009 = 115,593.45/x
  3. Step 3: Cross multiply
    283,952.35x = 426,009 × 115,593.45
  4. Step 4: Simplify right side
    283,952.35x = 49,243,850,041.05
  5. Step 5: Solve for x
    x = 49,243,850,041.05/283,952.35
  6. Step 6: Final answer
    x = 173,422.94

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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.