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Finding the Fourth Proportional to 370,305.80, 511,019.46 and 200,536.04

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Solution

The fourth proportional to 370,305.80, 511,019.46 and 200,536.04 is: 276,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,305.80 : 511,019.46 = 200,536.04 : x
  2. Step 2: Convert to fraction form
    370,305.80/511,019.46 = 200,536.04/x
  3. Step 3: Cross multiply
    370,305.80x = 511,019.46 × 200,536.04
  4. Step 4: Simplify right side
    370,305.80x = 102,477,818,871.34
  5. Step 5: Solve for x
    x = 102,477,818,871.34/370,305.80
  6. Step 6: Final answer
    x = 276,738.36

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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.