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Finding the Fourth Proportional to 370,105.04, 510,745.56 and 200,339.84

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Solution

The fourth proportional to 370,105.04, 510,745.56 and 200,339.84 is: 276,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,105.04 : 510,745.56 = 200,339.84 : x
  2. Step 2: Convert to fraction form
    370,105.04/510,745.56 = 200,339.84/x
  3. Step 3: Cross multiply
    370,105.04x = 510,745.56 × 200,339.84
  4. Step 4: Simplify right side
    370,105.04x = 102,322,683,771.11
  5. Step 5: Solve for x
    x = 102,322,683,771.11/370,105.04
  6. Step 6: Final answer
    x = 276,469.31

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1.5x scale

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.