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Finding the Fourth Proportional to 200,461.24, 300,738.30 and 58,309.88

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Solution

The fourth proportional to 200,461.24, 300,738.30 and 58,309.88 is: 87,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,461.24 : 300,738.30 = 58,309.88 : x
  2. Step 2: Convert to fraction form
    200,461.24/300,738.30 = 58,309.88/x
  3. Step 3: Cross multiply
    200,461.24x = 300,738.30 × 58,309.88
  4. Step 4: Simplify right side
    200,461.24x = 17,536,014,184.40
  5. Step 5: Solve for x
    x = 17,536,014,184.40/200,461.24
  6. Step 6: Final answer
    x = 87,478.33

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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.