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Finding the Fourth Proportional to 370,682.60, 511,542.42 and 200,915.24

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Solution

The fourth proportional to 370,682.60, 511,542.42 and 200,915.24 is: 277,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,682.60 : 511,542.42 = 200,915.24 : x
  2. Step 2: Convert to fraction form
    370,682.60/511,542.42 = 200,915.24/x
  3. Step 3: Cross multiply
    370,682.60x = 511,542.42 × 200,915.24
  4. Step 4: Simplify right side
    370,682.60x = 102,776,668,084.48
  5. Step 5: Solve for x
    x = 102,776,668,084.48/370,682.60
  6. Step 6: Final answer
    x = 277,263.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.