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Finding the Fourth Proportional to 370,472.60, 511,252.16 and 200,706.73

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Solution

The fourth proportional to 370,472.60, 511,252.16 and 200,706.73 is: 276,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,472.60 : 511,252.16 = 200,706.73 : x
  2. Step 2: Convert to fraction form
    370,472.60/511,252.16 = 200,706.73/x
  3. Step 3: Cross multiply
    370,472.60x = 511,252.16 × 200,706.73
  4. Step 4: Simplify right side
    370,472.60x = 102,611,746,957.37
  5. Step 5: Solve for x
    x = 102,611,746,957.37/370,472.60
  6. Step 6: Final answer
    x = 276,975.26

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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.