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Finding the Fourth Proportional to 537,948, 806,944.23 and 158,868.81

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Solution

The fourth proportional to 537,948, 806,944.23 and 158,868.81 is: 238,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,948 : 806,944.23 = 158,868.81 : x
  2. Step 2: Convert to fraction form
    537,948/806,944.23 = 158,868.81/x
  3. Step 3: Cross multiply
    537,948x = 806,944.23 × 158,868.81
  4. Step 4: Simplify right side
    537,948x = 128,198,269,556.47
  5. Step 5: Solve for x
    x = 128,198,269,556.47/537,948
  6. Step 6: Final answer
    x = 238,309.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.