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Finding the Fourth Proportional to 371,427.38, 511,422.11 and 290,084.21

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Solution

The fourth proportional to 371,427.38, 511,422.11 and 290,084.21 is: 399,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,427.38 : 511,422.11 = 290,084.21 : x
  2. Step 2: Convert to fraction form
    371,427.38/511,422.11 = 290,084.21/x
  3. Step 3: Cross multiply
    371,427.38x = 511,422.11 × 290,084.21
  4. Step 4: Simplify right side
    371,427.38x = 148,355,478,755.88
  5. Step 5: Solve for x
    x = 148,355,478,755.88/371,427.38
  6. Step 6: Final answer
    x = 399,419.88

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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.