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Finding the Fourth Proportional to 427,571.40, 590,039.28 and 233,978.24

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Solution

The fourth proportional to 427,571.40, 590,039.28 and 233,978.24 is: 322,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,571.40 : 590,039.28 = 233,978.24 : x
  2. Step 2: Convert to fraction form
    427,571.40/590,039.28 = 233,978.24/x
  3. Step 3: Cross multiply
    427,571.40x = 590,039.28 × 233,978.24
  4. Step 4: Simplify right side
    427,571.40x = 138,056,352,265.27
  5. Step 5: Solve for x
    x = 138,056,352,265.27/427,571.40
  6. Step 6: Final answer
    x = 322,884.91

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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.