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Finding the Fourth Proportional to 314,528.96, 434,465.28 and 233,022.68

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Solution

The fourth proportional to 314,528.96, 434,465.28 and 233,022.68 is: 321,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,528.96 : 434,465.28 = 233,022.68 : x
  2. Step 2: Convert to fraction form
    314,528.96/434,465.28 = 233,022.68/x
  3. Step 3: Cross multiply
    314,528.96x = 434,465.28 × 233,022.68
  4. Step 4: Simplify right side
    314,528.96x = 101,240,263,912.55
  5. Step 5: Solve for x
    x = 101,240,263,912.55/314,528.96
  6. Step 6: Final answer
    x = 321,878.99

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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.