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Finding the Fourth Proportional to 488,022.40, 732,033.60 and 172,489.60

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Solution

The fourth proportional to 488,022.40, 732,033.60 and 172,489.60 is: 258,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,022.40 : 732,033.60 = 172,489.60 : x
  2. Step 2: Convert to fraction form
    488,022.40/732,033.60 = 172,489.60/x
  3. Step 3: Cross multiply
    488,022.40x = 732,033.60 × 172,489.60
  4. Step 4: Simplify right side
    488,022.40x = 126,268,182,850.56
  5. Step 5: Solve for x
    x = 126,268,182,850.56/488,022.40
  6. Step 6: Final answer
    x = 258,734.40

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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.