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Finding the Fourth Proportional to 737,729.83, 1,105,998.04 and 310,990.11

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Solution

The fourth proportional to 737,729.83, 1,105,998.04 and 310,990.11 is: 466,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,729.83 : 1,105,998.04 = 310,990.11 : x
  2. Step 2: Convert to fraction form
    737,729.83/1,105,998.04 = 310,990.11/x
  3. Step 3: Cross multiply
    737,729.83x = 1,105,998.04 × 310,990.11
  4. Step 4: Simplify right side
    737,729.83x = 343,954,452,119.38
  5. Step 5: Solve for x
    x = 343,954,452,119.38/737,729.83
  6. Step 6: Final answer
    x = 466,233.62

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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.