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Finding the Fourth Proportional to 411,268.80, 616,442.40 and 174,571.20

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Solution

The fourth proportional to 411,268.80, 616,442.40 and 174,571.20 is: 261,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,268.80 : 616,442.40 = 174,571.20 : x
  2. Step 2: Convert to fraction form
    411,268.80/616,442.40 = 174,571.20/x
  3. Step 3: Cross multiply
    411,268.80x = 616,442.40 × 174,571.20
  4. Step 4: Simplify right side
    411,268.80x = 107,613,089,498.88
  5. Step 5: Solve for x
    x = 107,613,089,498.88/411,268.80
  6. Step 6: Final answer
    x = 261,661.20

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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.