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Finding the Fourth Proportional to 441,712.60, 662,568.90 and 411,969.40

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Solution

The fourth proportional to 441,712.60, 662,568.90 and 411,969.40 is: 617,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,712.60 : 662,568.90 = 411,969.40 : x
  2. Step 2: Convert to fraction form
    441,712.60/662,568.90 = 411,969.40/x
  3. Step 3: Cross multiply
    441,712.60x = 662,568.90 × 411,969.40
  4. Step 4: Simplify right side
    441,712.60x = 272,958,112,191.66
  5. Step 5: Solve for x
    x = 272,958,112,191.66/441,712.60
  6. Step 6: Final answer
    x = 617,954.10

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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.