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Finding the Fourth Proportional to 492,427.10, 738,640.65 and 256,231.10

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Solution

The fourth proportional to 492,427.10, 738,640.65 and 256,231.10 is: 384,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,427.10 : 738,640.65 = 256,231.10 : x
  2. Step 2: Convert to fraction form
    492,427.10/738,640.65 = 256,231.10/x
  3. Step 3: Cross multiply
    492,427.10x = 738,640.65 × 256,231.10
  4. Step 4: Simplify right side
    492,427.10x = 189,262,706,254.22
  5. Step 5: Solve for x
    x = 189,262,706,254.22/492,427.10
  6. Step 6: Final answer
    x = 384,346.65

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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.