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Finding the Fourth Proportional to 312,973.26, 431,924.57 and 177,007.26

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Solution

The fourth proportional to 312,973.26, 431,924.57 and 177,007.26 is: 244,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,973.26 : 431,924.57 = 177,007.26 : x
  2. Step 2: Convert to fraction form
    312,973.26/431,924.57 = 177,007.26/x
  3. Step 3: Cross multiply
    312,973.26x = 431,924.57 × 177,007.26
  4. Step 4: Simplify right side
    312,973.26x = 76,453,784,662.38
  5. Step 5: Solve for x
    x = 76,453,784,662.38/312,973.26
  6. Step 6: Final answer
    x = 244,282.16

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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.