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Finding the Fourth Proportional to 441,294.40, 661,617.60 and 174,923.20

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Solution

The fourth proportional to 441,294.40, 661,617.60 and 174,923.20 is: 262,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,294.40 : 661,617.60 = 174,923.20 : x
  2. Step 2: Convert to fraction form
    441,294.40/661,617.60 = 174,923.20/x
  3. Step 3: Cross multiply
    441,294.40x = 661,617.60 × 174,923.20
  4. Step 4: Simplify right side
    441,294.40x = 115,732,267,768.32
  5. Step 5: Solve for x
    x = 115,732,267,768.32/441,294.40
  6. Step 6: Final answer
    x = 262,256.37

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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.