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Finding the Fourth Proportional to 341,040.24, 511,824.24 and 274,643.28

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Solution

The fourth proportional to 341,040.24, 511,824.24 and 274,643.28 is: 412,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,040.24 : 511,824.24 = 274,643.28 : x
  2. Step 2: Convert to fraction form
    341,040.24/511,824.24 = 274,643.28/x
  3. Step 3: Cross multiply
    341,040.24x = 511,824.24 × 274,643.28
  4. Step 4: Simplify right side
    341,040.24x = 140,569,088,057.11
  5. Step 5: Solve for x
    x = 140,569,088,057.11/341,040.24
  6. Step 6: Final answer
    x = 412,177.43

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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.