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Finding the Fourth Proportional to 516,765.42, 775,165.43 and 179,834.35

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Solution

The fourth proportional to 516,765.42, 775,165.43 and 179,834.35 is: 269,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,765.42 : 775,165.43 = 179,834.35 : x
  2. Step 2: Convert to fraction form
    516,765.42/775,165.43 = 179,834.35/x
  3. Step 3: Cross multiply
    516,765.42x = 775,165.43 × 179,834.35
  4. Step 4: Simplify right side
    516,765.42x = 139,401,370,347.35
  5. Step 5: Solve for x
    x = 139,401,370,347.35/516,765.42
  6. Step 6: Final answer
    x = 269,757.55

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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.