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Finding the Fourth Proportional to 228,698, 343,361.24 and 116,453.67

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Solution

The fourth proportional to 228,698, 343,361.24 and 116,453.67 is: 174,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,698 : 343,361.24 = 116,453.67 : x
  2. Step 2: Convert to fraction form
    228,698/343,361.24 = 116,453.67/x
  3. Step 3: Cross multiply
    228,698x = 343,361.24 × 116,453.67
  4. Step 4: Simplify right side
    228,698x = 39,985,676,533.75
  5. Step 5: Solve for x
    x = 39,985,676,533.75/228,698
  6. Step 6: Final answer
    x = 174,840.52

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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.