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Finding the Fourth Proportional to 233,782.28, 322,619.62 and 126,352.32

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Solution

The fourth proportional to 233,782.28, 322,619.62 and 126,352.32 is: 174,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,782.28 : 322,619.62 = 126,352.32 : x
  2. Step 2: Convert to fraction form
    233,782.28/322,619.62 = 126,352.32/x
  3. Step 3: Cross multiply
    233,782.28x = 322,619.62 × 126,352.32
  4. Step 4: Simplify right side
    233,782.28x = 40,763,737,464.52
  5. Step 5: Solve for x
    x = 40,763,737,464.52/233,782.28
  6. Step 6: Final answer
    x = 174,366.24

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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.