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Finding the Fourth Proportional to 296,704.68, 445,127.03 and 97,024.29

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Solution

The fourth proportional to 296,704.68, 445,127.03 and 97,024.29 is: 145,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,704.68 : 445,127.03 = 97,024.29 : x
  2. Step 2: Convert to fraction form
    296,704.68/445,127.03 = 97,024.29/x
  3. Step 3: Cross multiply
    296,704.68x = 445,127.03 × 97,024.29
  4. Step 4: Simplify right side
    296,704.68x = 43,188,134,288.12
  5. Step 5: Solve for x
    x = 43,188,134,288.12/296,704.68
  6. Step 6: Final answer
    x = 145,559.33

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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.