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Finding the Fourth Proportional to 264,214.40, 396,321.60 and 164,681.60

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Solution

The fourth proportional to 264,214.40, 396,321.60 and 164,681.60 is: 247,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,214.40 : 396,321.60 = 164,681.60 : x
  2. Step 2: Convert to fraction form
    264,214.40/396,321.60 = 164,681.60/x
  3. Step 3: Cross multiply
    264,214.40x = 396,321.60 × 164,681.60
  4. Step 4: Simplify right side
    264,214.40x = 65,266,875,202.56
  5. Step 5: Solve for x
    x = 65,266,875,202.56/264,214.40
  6. Step 6: Final answer
    x = 247,022.40

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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.