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Finding the Fourth Proportional to 370,014.44, 510,619.97 and 200,248.57

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Solution

The fourth proportional to 370,014.44, 510,619.97 and 200,248.57 is: 276,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,014.44 : 510,619.97 = 200,248.57 : x
  2. Step 2: Convert to fraction form
    370,014.44/510,619.97 = 200,248.57/x
  3. Step 3: Cross multiply
    370,014.44x = 510,619.97 × 200,248.57
  4. Step 4: Simplify right side
    370,014.44x = 102,250,918,030.01
  5. Step 5: Solve for x
    x = 102,250,918,030.01/370,014.44
  6. Step 6: Final answer
    x = 276,343.05

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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.