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Finding the Fourth Proportional to 273,427.60, 410,141.40 and 256,806.40

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Solution

The fourth proportional to 273,427.60, 410,141.40 and 256,806.40 is: 385,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,427.60 : 410,141.40 = 256,806.40 : x
  2. Step 2: Convert to fraction form
    273,427.60/410,141.40 = 256,806.40/x
  3. Step 3: Cross multiply
    273,427.60x = 410,141.40 × 256,806.40
  4. Step 4: Simplify right side
    273,427.60x = 105,326,936,424.96
  5. Step 5: Solve for x
    x = 105,326,936,424.96/273,427.60
  6. Step 6: Final answer
    x = 385,209.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.