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Finding the Fourth Proportional to 314,664.94, 434,222.52 and 178,680.91

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Solution

The fourth proportional to 314,664.94, 434,222.52 and 178,680.91 is: 246,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,664.94 : 434,222.52 = 178,680.91 : x
  2. Step 2: Convert to fraction form
    314,664.94/434,222.52 = 178,680.91/x
  3. Step 3: Cross multiply
    314,664.94x = 434,222.52 × 178,680.91
  4. Step 4: Simplify right side
    314,664.94x = 77,587,275,016.09
  5. Step 5: Solve for x
    x = 77,587,275,016.09/314,664.94
  6. Step 6: Final answer
    x = 246,571.08

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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.