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Finding the Fourth Proportional to 370,754.70, 511,642.62 and 200,988.96

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Solution

The fourth proportional to 370,754.70, 511,642.62 and 200,988.96 is: 277,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,754.70 : 511,642.62 = 200,988.96 : x
  2. Step 2: Convert to fraction form
    370,754.70/511,642.62 = 200,988.96/x
  3. Step 3: Cross multiply
    370,754.70x = 511,642.62 × 200,988.96
  4. Step 4: Simplify right side
    370,754.70x = 102,834,518,085.48
  5. Step 5: Solve for x
    x = 102,834,518,085.48/370,754.70
  6. Step 6: Final answer
    x = 277,365.38

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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.