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Finding the Fourth Proportional to 492,321.60, 738,506.70 and 256,125.60

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Solution

The fourth proportional to 492,321.60, 738,506.70 and 256,125.60 is: 384,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,321.60 : 738,506.70 = 256,125.60 : x
  2. Step 2: Convert to fraction form
    492,321.60/738,506.70 = 256,125.60/x
  3. Step 3: Cross multiply
    492,321.60x = 738,506.70 × 256,125.60
  4. Step 4: Simplify right side
    492,321.60x = 189,150,471,641.52
  5. Step 5: Solve for x
    x = 189,150,471,641.52/492,321.60
  6. Step 6: Final answer
    x = 384,201.04

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Why These Related Problems?

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