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Finding the Fourth Proportional to 314,719.85, 434,301.21 and 171,480.97

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Solution

The fourth proportional to 314,719.85, 434,301.21 and 171,480.97 is: 236,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,719.85 : 434,301.21 = 171,480.97 : x
  2. Step 2: Convert to fraction form
    314,719.85/434,301.21 = 171,480.97/x
  3. Step 3: Cross multiply
    314,719.85x = 434,301.21 × 171,480.97
  4. Step 4: Simplify right side
    314,719.85x = 74,474,392,762.97
  5. Step 5: Solve for x
    x = 74,474,392,762.97/314,719.85
  6. Step 6: Final answer
    x = 236,637.10

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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.