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Finding the Fourth Proportional to 301,342.89, 416,133.27 and 194,097.27

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Solution

The fourth proportional to 301,342.89, 416,133.27 and 194,097.27 is: 268,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,342.89 : 416,133.27 = 194,097.27 : x
  2. Step 2: Convert to fraction form
    301,342.89/416,133.27 = 194,097.27/x
  3. Step 3: Cross multiply
    301,342.89x = 416,133.27 × 194,097.27
  4. Step 4: Simplify right side
    301,342.89x = 80,770,331,663.17
  5. Step 5: Solve for x
    x = 80,770,331,663.17/301,342.89
  6. Step 6: Final answer
    x = 268,034.64

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1.5x scale

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.