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Finding the Fourth Proportional to 496,919.66, 685,757.43 and 282,066.32

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Solution

The fourth proportional to 496,919.66, 685,757.43 and 282,066.32 is: 389,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,919.66 : 685,757.43 = 282,066.32 : x
  2. Step 2: Convert to fraction form
    496,919.66/685,757.43 = 282,066.32/x
  3. Step 3: Cross multiply
    496,919.66x = 685,757.43 × 282,066.32
  4. Step 4: Simplify right side
    496,919.66x = 193,429,074,692.76
  5. Step 5: Solve for x
    x = 193,429,074,692.76/496,919.66
  6. Step 6: Final answer
    x = 389,256.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.