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Finding the Fourth Proportional to 483,776.64, 667,379.52 and 416,592

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Solution

The fourth proportional to 483,776.64, 667,379.52 and 416,592 is: 574,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,776.64 : 667,379.52 = 416,592 : x
  2. Step 2: Convert to fraction form
    483,776.64/667,379.52 = 416,592/x
  3. Step 3: Cross multiply
    483,776.64x = 667,379.52 × 416,592
  4. Step 4: Simplify right side
    483,776.64x = 278,024,968,995.84
  5. Step 5: Solve for x
    x = 278,024,968,995.84/483,776.64
  6. Step 6: Final answer
    x = 574,696.97

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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.