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Finding the Fourth Proportional to 428,538.16, 591,389.32 and 234,963.55

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Solution

The fourth proportional to 428,538.16, 591,389.32 and 234,963.55 is: 324,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,538.16 : 591,389.32 = 234,963.55 : x
  2. Step 2: Convert to fraction form
    428,538.16/591,389.32 = 234,963.55/x
  3. Step 3: Cross multiply
    428,538.16x = 591,389.32 × 234,963.55
  4. Step 4: Simplify right side
    428,538.16x = 138,954,934,059.29
  5. Step 5: Solve for x
    x = 138,954,934,059.29/428,538.16
  6. Step 6: Final answer
    x = 324,253.35

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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.