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Finding the Fourth Proportional to 200,647.40, 301,023.30 and 58,489.46

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Solution

The fourth proportional to 200,647.40, 301,023.30 and 58,489.46 is: 87,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,647.40 : 301,023.30 = 58,489.46 : x
  2. Step 2: Convert to fraction form
    200,647.40/301,023.30 = 58,489.46/x
  3. Step 3: Cross multiply
    200,647.40x = 301,023.30 × 58,489.46
  4. Step 4: Simplify right side
    200,647.40x = 17,606,690,264.42
  5. Step 5: Solve for x
    x = 17,606,690,264.42/200,647.40
  6. Step 6: Final answer
    x = 87,749.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.