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Finding the Fourth Proportional to 441,214, 662,039.72 and 174,968.60

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Solution

The fourth proportional to 441,214, 662,039.72 and 174,968.60 is: 262,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,214 : 662,039.72 = 174,968.60 : x
  2. Step 2: Convert to fraction form
    441,214/662,039.72 = 174,968.60/x
  3. Step 3: Cross multiply
    441,214x = 662,039.72 × 174,968.60
  4. Step 4: Simplify right side
    441,214x = 115,836,162,952.79
  5. Step 5: Solve for x
    x = 115,836,162,952.79/441,214
  6. Step 6: Final answer
    x = 262,539.64

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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.