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Finding the Fourth Proportional to 370,705.79, 511,560.28 and 200,936.27

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Solution

The fourth proportional to 370,705.79, 511,560.28 and 200,936.27 is: 277,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,705.79 : 511,560.28 = 200,936.27 : x
  2. Step 2: Convert to fraction form
    370,705.79/511,560.28 = 200,936.27/x
  3. Step 3: Cross multiply
    370,705.79x = 511,560.28 × 200,936.27
  4. Step 4: Simplify right side
    370,705.79x = 102,791,014,543.36
  5. Step 5: Solve for x
    x = 102,791,014,543.36/370,705.79
  6. Step 6: Final answer
    x = 277,284.62

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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.