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Finding the Fourth Proportional to 314,576.66, 434,116.46 and 171,336.26

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Solution

The fourth proportional to 314,576.66, 434,116.46 and 171,336.26 is: 236,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,576.66 : 434,116.46 = 171,336.26 : x
  2. Step 2: Convert to fraction form
    314,576.66/434,116.46 = 171,336.26/x
  3. Step 3: Cross multiply
    314,576.66x = 434,116.46 × 171,336.26
  4. Step 4: Simplify right side
    314,576.66x = 74,379,890,660.84
  5. Step 5: Solve for x
    x = 74,379,890,660.84/314,576.66
  6. Step 6: Final answer
    x = 236,444.40

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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.