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Finding the Fourth Proportional to 314,798.27, 434,408.94 and 171,555.24

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Solution

The fourth proportional to 314,798.27, 434,408.94 and 171,555.24 is: 236,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,798.27 : 434,408.94 = 171,555.24 : x
  2. Step 2: Convert to fraction form
    314,798.27/434,408.94 = 171,555.24/x
  3. Step 3: Cross multiply
    314,798.27x = 434,408.94 × 171,555.24
  4. Step 4: Simplify right side
    314,798.27x = 74,525,129,959.85
  5. Step 5: Solve for x
    x = 74,525,129,959.85/314,798.27
  6. Step 6: Final answer
    x = 236,739.32

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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.