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Finding the Fourth Proportional to 370,825.66, 511,734.81 and 201,059.38

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Solution

The fourth proportional to 370,825.66, 511,734.81 and 201,059.38 is: 277,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,825.66 : 511,734.81 = 201,059.38 : x
  2. Step 2: Convert to fraction form
    370,825.66/511,734.81 = 201,059.38/x
  3. Step 3: Cross multiply
    370,825.66x = 511,734.81 × 201,059.38
  4. Step 4: Simplify right side
    370,825.66x = 102,889,083,623.02
  5. Step 5: Solve for x
    x = 102,889,083,623.02/370,825.66
  6. Step 6: Final answer
    x = 277,459.45

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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.