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Finding the Fourth Proportional to 309,301.95, 463,839.12 and 106,846.53

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Solution

The fourth proportional to 309,301.95, 463,839.12 and 106,846.53 is: 160,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,301.95 : 463,839.12 = 106,846.53 : x
  2. Step 2: Convert to fraction form
    309,301.95/463,839.12 = 106,846.53/x
  3. Step 3: Cross multiply
    309,301.95x = 463,839.12 × 106,846.53
  4. Step 4: Simplify right side
    309,301.95x = 49,559,600,450.25
  5. Step 5: Solve for x
    x = 49,559,600,450.25/309,301.95
  6. Step 6: Final answer
    x = 160,230.48

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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.