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Finding the Fourth Proportional to 301,721, 452,977.02 and 202,325.96

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Solution

The fourth proportional to 301,721, 452,977.02 and 202,325.96 is: 303,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,721 : 452,977.02 = 202,325.96 : x
  2. Step 2: Convert to fraction form
    301,721/452,977.02 = 202,325.96/x
  3. Step 3: Cross multiply
    301,721x = 452,977.02 × 202,325.96
  4. Step 4: Simplify right side
    301,721x = 91,649,010,429.44
  5. Step 5: Solve for x
    x = 91,649,010,429.44/301,721
  6. Step 6: Final answer
    x = 303,754.17

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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.