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Finding the Fourth Proportional to 314,505.81, 434,004.57 and 171,266.22

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Solution

The fourth proportional to 314,505.81, 434,004.57 and 171,266.22 is: 236,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,505.81 : 434,004.57 = 171,266.22 : x
  2. Step 2: Convert to fraction form
    314,505.81/434,004.57 = 171,266.22/x
  3. Step 3: Cross multiply
    314,505.81x = 434,004.57 × 171,266.22
  4. Step 4: Simplify right side
    314,505.81x = 74,330,322,166.63
  5. Step 5: Solve for x
    x = 74,330,322,166.63/314,505.81
  6. Step 6: Final answer
    x = 236,340.06

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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.