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Finding the Fourth Proportional to 325,751.60, 488,627.40 and 214,943.60

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Solution

The fourth proportional to 325,751.60, 488,627.40 and 214,943.60 is: 322,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,751.60 : 488,627.40 = 214,943.60 : x
  2. Step 2: Convert to fraction form
    325,751.60/488,627.40 = 214,943.60/x
  3. Step 3: Cross multiply
    325,751.60x = 488,627.40 × 214,943.60
  4. Step 4: Simplify right side
    325,751.60x = 105,027,332,414.64
  5. Step 5: Solve for x
    x = 105,027,332,414.64/325,751.60
  6. Step 6: Final answer
    x = 322,415.40

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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.