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Finding the Fourth Proportional to 397,431.47, 597,351.59 and 262,954.22

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Solution

The fourth proportional to 397,431.47, 597,351.59 and 262,954.22 is: 395,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,431.47 : 597,351.59 = 262,954.22 : x
  2. Step 2: Convert to fraction form
    397,431.47/597,351.59 = 262,954.22/x
  3. Step 3: Cross multiply
    397,431.47x = 597,351.59 × 262,954.22
  4. Step 4: Simplify right side
    397,431.47x = 157,076,117,112.68
  5. Step 5: Solve for x
    x = 157,076,117,112.68/397,431.47
  6. Step 6: Final answer
    x = 395,228.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.