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Finding the Fourth Proportional to 265,514.74, 398,345.92 and 115,768.12

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Solution

The fourth proportional to 265,514.74, 398,345.92 and 115,768.12 is: 173,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,514.74 : 398,345.92 = 115,768.12 : x
  2. Step 2: Convert to fraction form
    265,514.74/398,345.92 = 115,768.12/x
  3. Step 3: Cross multiply
    265,514.74x = 398,345.92 × 115,768.12
  4. Step 4: Simplify right side
    265,514.74x = 46,115,758,268.07
  5. Step 5: Solve for x
    x = 46,115,758,268.07/265,514.74
  6. Step 6: Final answer
    x = 173,684.36

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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.