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Finding the Fourth Proportional to 657,183.38, 906,913.11 and 355,377.38

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Solution

The fourth proportional to 657,183.38, 906,913.11 and 355,377.38 is: 490,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,183.38 : 906,913.11 = 355,377.38 : x
  2. Step 2: Convert to fraction form
    657,183.38/906,913.11 = 355,377.38/x
  3. Step 3: Cross multiply
    657,183.38x = 906,913.11 × 355,377.38
  4. Step 4: Simplify right side
    657,183.38x = 322,296,399,718.55
  5. Step 5: Solve for x
    x = 322,296,399,718.55/657,183.38
  6. Step 6: Final answer
    x = 490,420.80

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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.