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Finding the Fourth Proportional to 307,820.39, 461,712.13 and 94,590.32

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Solution

The fourth proportional to 307,820.39, 461,712.13 and 94,590.32 is: 141,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,820.39 : 461,712.13 = 94,590.32 : x
  2. Step 2: Convert to fraction form
    307,820.39/461,712.13 = 94,590.32/x
  3. Step 3: Cross multiply
    307,820.39x = 461,712.13 × 94,590.32
  4. Step 4: Simplify right side
    307,820.39x = 43,673,498,124.58
  5. Step 5: Solve for x
    x = 43,673,498,124.58/307,820.39
  6. Step 6: Final answer
    x = 141,879.81

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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.