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Finding the Fourth Proportional to 507,906.38, 700,669.26 and 303,916.22

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Solution

The fourth proportional to 507,906.38, 700,669.26 and 303,916.22 is: 419,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,906.38 : 700,669.26 = 303,916.22 : x
  2. Step 2: Convert to fraction form
    507,906.38/700,669.26 = 303,916.22/x
  3. Step 3: Cross multiply
    507,906.38x = 700,669.26 × 303,916.22
  4. Step 4: Simplify right side
    507,906.38x = 212,944,752,969.40
  5. Step 5: Solve for x
    x = 212,944,752,969.40/507,906.38
  6. Step 6: Final answer
    x = 419,259.85

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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.