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Finding the Fourth Proportional to 541,405.38, 747,219.48 and 311,918.96

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Solution

The fourth proportional to 541,405.38, 747,219.48 and 311,918.96 is: 430,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,405.38 : 747,219.48 = 311,918.96 : x
  2. Step 2: Convert to fraction form
    541,405.38/747,219.48 = 311,918.96/x
  3. Step 3: Cross multiply
    541,405.38x = 747,219.48 × 311,918.96
  4. Step 4: Simplify right side
    541,405.38x = 233,071,923,093.34
  5. Step 5: Solve for x
    x = 233,071,923,093.34/541,405.38
  6. Step 6: Final answer
    x = 430,494.29

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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.