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Finding the Fourth Proportional to 312,322.58, 431,004.62 and 169,082.58

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Solution

The fourth proportional to 312,322.58, 431,004.62 and 169,082.58 is: 233,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,322.58 : 431,004.62 = 169,082.58 : x
  2. Step 2: Convert to fraction form
    312,322.58/431,004.62 = 169,082.58/x
  3. Step 3: Cross multiply
    312,322.58x = 431,004.62 × 169,082.58
  4. Step 4: Simplify right side
    312,322.58x = 72,875,372,296.11
  5. Step 5: Solve for x
    x = 72,875,372,296.11/312,322.58
  6. Step 6: Final answer
    x = 233,333.67

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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.