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Finding the Fourth Proportional to 310,006.36, 465,038.97 and 120,481.38

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Solution

The fourth proportional to 310,006.36, 465,038.97 and 120,481.38 is: 180,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,006.36 : 465,038.97 = 120,481.38 : x
  2. Step 2: Convert to fraction form
    310,006.36/465,038.97 = 120,481.38/x
  3. Step 3: Cross multiply
    310,006.36x = 465,038.97 × 120,481.38
  4. Step 4: Simplify right side
    310,006.36x = 56,028,536,859.38
  5. Step 5: Solve for x
    x = 56,028,536,859.38/310,006.36
  6. Step 6: Final answer
    x = 180,733.51

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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.