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Finding the Fourth Proportional to 314,852.67, 434,496.96 and 171,609.84

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Solution

The fourth proportional to 314,852.67, 434,496.96 and 171,609.84 is: 236,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,852.67 : 434,496.96 = 171,609.84 : x
  2. Step 2: Convert to fraction form
    314,852.67/434,496.96 = 171,609.84/x
  3. Step 3: Cross multiply
    314,852.67x = 434,496.96 × 171,609.84
  4. Step 4: Simplify right side
    314,852.67x = 74,563,953,786.09
  5. Step 5: Solve for x
    x = 74,563,953,786.09/314,852.67
  6. Step 6: Final answer
    x = 236,821.73

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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.