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Finding the Fourth Proportional to 314,713.81, 434,299.58 and 171,475.03

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Solution

The fourth proportional to 314,713.81, 434,299.58 and 171,475.03 is: 236,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,713.81 : 434,299.58 = 171,475.03 : x
  2. Step 2: Convert to fraction form
    314,713.81/434,299.58 = 171,475.03/x
  3. Step 3: Cross multiply
    314,713.81x = 434,299.58 × 171,475.03
  4. Step 4: Simplify right side
    314,713.81x = 74,471,531,337.99
  5. Step 5: Solve for x
    x = 74,471,531,337.99/314,713.81
  6. Step 6: Final answer
    x = 236,632.55

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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.