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Finding the Fourth Proportional to 698,837.76, 1,048,253.76 and 200,201.76

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Solution

The fourth proportional to 698,837.76, 1,048,253.76 and 200,201.76 is: 300,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,837.76 : 1,048,253.76 = 200,201.76 : x
  2. Step 2: Convert to fraction form
    698,837.76/1,048,253.76 = 200,201.76/x
  3. Step 3: Cross multiply
    698,837.76x = 1,048,253.76 × 200,201.76
  4. Step 4: Simplify right side
    698,837.76x = 209,862,247,678.62
  5. Step 5: Solve for x
    x = 209,862,247,678.62/698,837.76
  6. Step 6: Final answer
    x = 300,301.81

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