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Finding the Fourth Proportional to 314,089.40, 433,450.52 and 170,857.12

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Solution

The fourth proportional to 314,089.40, 433,450.52 and 170,857.12 is: 235,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,089.40 : 433,450.52 = 170,857.12 : x
  2. Step 2: Convert to fraction form
    314,089.40/433,450.52 = 170,857.12/x
  3. Step 3: Cross multiply
    314,089.40x = 433,450.52 × 170,857.12
  4. Step 4: Simplify right side
    314,089.40x = 74,058,107,509.70
  5. Step 5: Solve for x
    x = 74,058,107,509.70/314,089.40
  6. Step 6: Final answer
    x = 235,786.71

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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.