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Finding the Fourth Proportional to 665,176.23, 917,944.05 and 378,696.31

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Solution

The fourth proportional to 665,176.23, 917,944.05 and 378,696.31 is: 522,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,176.23 : 917,944.05 = 378,696.31 : x
  2. Step 2: Convert to fraction form
    665,176.23/917,944.05 = 378,696.31/x
  3. Step 3: Cross multiply
    665,176.23x = 917,944.05 × 378,696.31
  4. Step 4: Simplify right side
    665,176.23x = 347,622,023,646.71
  5. Step 5: Solve for x
    x = 347,622,023,646.71/665,176.23
  6. Step 6: Final answer
    x = 522,601.39

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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.