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Finding the Fourth Proportional to 314,013.40, 433,334.41 and 170,770.37

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Solution

The fourth proportional to 314,013.40, 433,334.41 and 170,770.37 is: 235,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,013.40 : 433,334.41 = 170,770.37 : x
  2. Step 2: Convert to fraction form
    314,013.40/433,334.41 = 170,770.37/x
  3. Step 3: Cross multiply
    314,013.40x = 433,334.41 × 170,770.37
  4. Step 4: Simplify right side
    314,013.40x = 74,000,674,935.83
  5. Step 5: Solve for x
    x = 74,000,674,935.83/314,013.40
  6. Step 6: Final answer
    x = 235,660.88

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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.