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Finding the Fourth Proportional to 314,313, 471,556.06 and 92,697

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Solution

The fourth proportional to 314,313, 471,556.06 and 92,697 is: 139,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,313 : 471,556.06 = 92,697 : x
  2. Step 2: Convert to fraction form
    314,313/471,556.06 = 92,697/x
  3. Step 3: Cross multiply
    314,313x = 471,556.06 × 92,697
  4. Step 4: Simplify right side
    314,313x = 43,711,832,093.82
  5. Step 5: Solve for x
    x = 43,711,832,093.82/314,313
  6. Step 6: Final answer
    x = 139,071.03

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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.