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Finding the Fourth Proportional to 313,261.41, 432,296.56 and 170,020.20

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Solution

The fourth proportional to 313,261.41, 432,296.56 and 170,020.20 is: 234,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,261.41 : 432,296.56 = 170,020.20 : x
  2. Step 2: Convert to fraction form
    313,261.41/432,296.56 = 170,020.20/x
  3. Step 3: Cross multiply
    313,261.41x = 432,296.56 × 170,020.20
  4. Step 4: Simplify right side
    313,261.41x = 73,499,147,590.51
  5. Step 5: Solve for x
    x = 73,499,147,590.51/313,261.41
  6. Step 6: Final answer
    x = 234,625.60

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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.