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Finding the Fourth Proportional to 370,472.27, 511,254.18 and 200,706.39

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Solution

The fourth proportional to 370,472.27, 511,254.18 and 200,706.39 is: 276,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,472.27 : 511,254.18 = 200,706.39 : x
  2. Step 2: Convert to fraction form
    370,472.27/511,254.18 = 200,706.39/x
  3. Step 3: Cross multiply
    370,472.27x = 511,254.18 × 200,706.39
  4. Step 4: Simplify right side
    370,472.27x = 102,611,980,840.21
  5. Step 5: Solve for x
    x = 102,611,980,840.21/370,472.27
  6. Step 6: Final answer
    x = 276,976.15

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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.