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Finding the Fourth Proportional to 314,406.84, 433,890.52 and 171,169.32

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Solution

The fourth proportional to 314,406.84, 433,890.52 and 171,169.32 is: 236,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,406.84 : 433,890.52 = 171,169.32 : x
  2. Step 2: Convert to fraction form
    314,406.84/433,890.52 = 171,169.32/x
  3. Step 3: Cross multiply
    314,406.84x = 433,890.52 × 171,169.32
  4. Step 4: Simplify right side
    314,406.84x = 74,268,745,262.85
  5. Step 5: Solve for x
    x = 74,268,745,262.85/314,406.84
  6. Step 6: Final answer
    x = 236,218.61

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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.