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Finding the Fourth Proportional to 264,046.40, 396,069.60 and 164,513.60

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Solution

The fourth proportional to 264,046.40, 396,069.60 and 164,513.60 is: 246,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,046.40 : 396,069.60 = 164,513.60 : x
  2. Step 2: Convert to fraction form
    264,046.40/396,069.60 = 164,513.60/x
  3. Step 3: Cross multiply
    264,046.40x = 396,069.60 × 164,513.60
  4. Step 4: Simplify right side
    264,046.40x = 65,158,835,746.56
  5. Step 5: Solve for x
    x = 65,158,835,746.56/264,046.40
  6. Step 6: Final answer
    x = 246,770.40

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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.