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Finding the Fourth Proportional to 356,647.10, 534,846.59 and 143,351.69

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Solution

The fourth proportional to 356,647.10, 534,846.59 and 143,351.69 is: 214,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,647.10 : 534,846.59 = 143,351.69 : x
  2. Step 2: Convert to fraction form
    356,647.10/534,846.59 = 143,351.69/x
  3. Step 3: Cross multiply
    356,647.10x = 534,846.59 × 143,351.69
  4. Step 4: Simplify right side
    356,647.10x = 76,671,161,850.48
  5. Step 5: Solve for x
    x = 76,671,161,850.48/356,647.10
  6. Step 6: Final answer
    x = 214,977.67

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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.