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Finding the Fourth Proportional to 441,409.60, 662,114.40 and 406,849.60

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Solution

The fourth proportional to 441,409.60, 662,114.40 and 406,849.60 is: 610,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,409.60 : 662,114.40 = 406,849.60 : x
  2. Step 2: Convert to fraction form
    441,409.60/662,114.40 = 406,849.60/x
  3. Step 3: Cross multiply
    441,409.60x = 662,114.40 × 406,849.60
  4. Step 4: Simplify right side
    441,409.60x = 269,380,978,794.24
  5. Step 5: Solve for x
    x = 269,380,978,794.24/441,409.60
  6. Step 6: Final answer
    x = 610,274.40

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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.