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Finding the Fourth Proportional to 392,878, 589,331.60 and 126,642.36

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Solution

The fourth proportional to 392,878, 589,331.60 and 126,642.36 is: 189,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,878 : 589,331.60 = 126,642.36 : x
  2. Step 2: Convert to fraction form
    392,878/589,331.60 = 126,642.36/x
  3. Step 3: Cross multiply
    392,878x = 589,331.60 × 126,642.36
  4. Step 4: Simplify right side
    392,878x = 74,634,344,646.58
  5. Step 5: Solve for x
    x = 74,634,344,646.58/392,878
  6. Step 6: Final answer
    x = 189,968.25

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