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Finding the Fourth Proportional to 381,325.42, 571,991.52 and 97,016.33

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Solution

The fourth proportional to 381,325.42, 571,991.52 and 97,016.33 is: 145,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,325.42 : 571,991.52 = 97,016.33 : x
  2. Step 2: Convert to fraction form
    381,325.42/571,991.52 = 97,016.33/x
  3. Step 3: Cross multiply
    381,325.42x = 571,991.52 × 97,016.33
  4. Step 4: Simplify right side
    381,325.42x = 55,492,519,855.31
  5. Step 5: Solve for x
    x = 55,492,519,855.31/381,325.42
  6. Step 6: Final answer
    x = 145,525.36

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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.