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Finding the Fourth Proportional to 381,738.03, 572,603.40 and 232,019.67

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Solution

The fourth proportional to 381,738.03, 572,603.40 and 232,019.67 is: 348,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,738.03 : 572,603.40 = 232,019.67 : x
  2. Step 2: Convert to fraction form
    381,738.03/572,603.40 = 232,019.67/x
  3. Step 3: Cross multiply
    381,738.03x = 572,603.40 × 232,019.67
  4. Step 4: Simplify right side
    381,738.03x = 132,855,251,908.88
  5. Step 5: Solve for x
    x = 132,855,251,908.88/381,738.03
  6. Step 6: Final answer
    x = 348,027.29

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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.