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Finding the Fourth Proportional to 381,325.19, 571,991.06 and 97,016.06

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Solution

The fourth proportional to 381,325.19, 571,991.06 and 97,016.06 is: 145,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,325.19 : 571,991.06 = 97,016.06 : x
  2. Step 2: Convert to fraction form
    381,325.19/571,991.06 = 97,016.06/x
  3. Step 3: Cross multiply
    381,325.19x = 571,991.06 × 97,016.06
  4. Step 4: Simplify right side
    381,325.19x = 55,492,315,651.39
  5. Step 5: Solve for x
    x = 55,492,315,651.39/381,325.19
  6. Step 6: Final answer
    x = 145,524.92

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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.