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Finding the Fourth Proportional to 370,518.93, 511,314.80 and 200,753.46

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Solution

The fourth proportional to 370,518.93, 511,314.80 and 200,753.46 is: 277,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,518.93 : 511,314.80 = 200,753.46 : x
  2. Step 2: Convert to fraction form
    370,518.93/511,314.80 = 200,753.46/x
  3. Step 3: Cross multiply
    370,518.93x = 511,314.80 × 200,753.46
  4. Step 4: Simplify right side
    370,518.93x = 102,648,214,245.44
  5. Step 5: Solve for x
    x = 102,648,214,245.44/370,518.93
  6. Step 6: Final answer
    x = 277,039.06

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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.