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Finding the Fourth Proportional to 309,234.22, 463,318.79 and 241,740

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Solution

The fourth proportional to 309,234.22, 463,318.79 and 241,740 is: 362,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,234.22 : 463,318.79 = 241,740 : x
  2. Step 2: Convert to fraction form
    309,234.22/463,318.79 = 241,740/x
  3. Step 3: Cross multiply
    309,234.22x = 463,318.79 × 241,740
  4. Step 4: Simplify right side
    309,234.22x = 112,002,683,085.90
  5. Step 5: Solve for x
    x = 112,002,683,085.90/309,234.22
  6. Step 6: Final answer
    x = 362,193.69

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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.