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Finding the Fourth Proportional to 296,949.76, 445,450.10 and 97,269.32

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Solution

The fourth proportional to 296,949.76, 445,450.10 and 97,269.32 is: 145,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,949.76 : 445,450.10 = 97,269.32 : x
  2. Step 2: Convert to fraction form
    296,949.76/445,450.10 = 97,269.32/x
  3. Step 3: Cross multiply
    296,949.76x = 445,450.10 × 97,269.32
  4. Step 4: Simplify right side
    296,949.76x = 43,328,628,320.93
  5. Step 5: Solve for x
    x = 43,328,628,320.93/296,949.76
  6. Step 6: Final answer
    x = 145,912.32

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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.