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Finding the Fourth Proportional to 463,409.60, 694,239.60 and 238,002.80

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Solution

The fourth proportional to 463,409.60, 694,239.60 and 238,002.80 is: 356,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,409.60 : 694,239.60 = 238,002.80 : x
  2. Step 2: Convert to fraction form
    463,409.60/694,239.60 = 238,002.80/x
  3. Step 3: Cross multiply
    463,409.60x = 694,239.60 × 238,002.80
  4. Step 4: Simplify right side
    463,409.60x = 165,230,968,670.88
  5. Step 5: Solve for x
    x = 165,230,968,670.88/463,409.60
  6. Step 6: Final answer
    x = 356,554.91

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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.