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Finding the Fourth Proportional to 416,308.51, 574,519.74 and 255,132.48

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Solution

The fourth proportional to 416,308.51, 574,519.74 and 255,132.48 is: 352,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,308.51 : 574,519.74 = 255,132.48 : x
  2. Step 2: Convert to fraction form
    416,308.51/574,519.74 = 255,132.48/x
  3. Step 3: Cross multiply
    416,308.51x = 574,519.74 × 255,132.48
  4. Step 4: Simplify right side
    416,308.51x = 146,578,647,272.86
  5. Step 5: Solve for x
    x = 146,578,647,272.86/416,308.51
  6. Step 6: Final answer
    x = 352,091.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.