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Finding the Fourth Proportional to 477,233.67, 716,369.19 and 193,119.78

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Solution

The fourth proportional to 477,233.67, 716,369.19 and 193,119.78 is: 289,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,233.67 : 716,369.19 = 193,119.78 : x
  2. Step 2: Convert to fraction form
    477,233.67/716,369.19 = 193,119.78/x
  3. Step 3: Cross multiply
    477,233.67x = 716,369.19 × 193,119.78
  4. Step 4: Simplify right side
    477,233.67x = 138,345,060,371.58
  5. Step 5: Solve for x
    x = 138,345,060,371.58/477,233.67
  6. Step 6: Final answer
    x = 289,889.56

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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.