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Finding the Fourth Proportional to 274,808.40, 412,212.60 and 97,333.35

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Solution

The fourth proportional to 274,808.40, 412,212.60 and 97,333.35 is: 146,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,808.40 : 412,212.60 = 97,333.35 : x
  2. Step 2: Convert to fraction form
    274,808.40/412,212.60 = 97,333.35/x
  3. Step 3: Cross multiply
    274,808.40x = 412,212.60 × 97,333.35
  4. Step 4: Simplify right side
    274,808.40x = 40,122,033,270.21
  5. Step 5: Solve for x
    x = 40,122,033,270.21/274,808.40
  6. Step 6: Final answer
    x = 146,000.03

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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.