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Finding the Fourth Proportional to 286,538.34, 395,415.09 and 159,210.66

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Solution

The fourth proportional to 286,538.34, 395,415.09 and 159,210.66 is: 219,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,538.34 : 395,415.09 = 159,210.66 : x
  2. Step 2: Convert to fraction form
    286,538.34/395,415.09 = 159,210.66/x
  3. Step 3: Cross multiply
    286,538.34x = 395,415.09 × 159,210.66
  4. Step 4: Simplify right side
    286,538.34x = 62,954,297,452.86
  5. Step 5: Solve for x
    x = 62,954,297,452.86/286,538.34
  6. Step 6: Final answer
    x = 219,706.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.