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Finding the Fourth Proportional to 468,564.50, 646,593.44 and 274,946.14

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Solution

The fourth proportional to 468,564.50, 646,593.44 and 274,946.14 is: 379,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,564.50 : 646,593.44 = 274,946.14 : x
  2. Step 2: Convert to fraction form
    468,564.50/646,593.44 = 274,946.14/x
  3. Step 3: Cross multiply
    468,564.50x = 646,593.44 × 274,946.14
  4. Step 4: Simplify right side
    468,564.50x = 177,778,370,477.32
  5. Step 5: Solve for x
    x = 177,778,370,477.32/468,564.50
  6. Step 6: Final answer
    x = 379,410.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.