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Finding the Fourth Proportional to 325,741.38, 488,673.51 and 123,398.07

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Solution

The fourth proportional to 325,741.38, 488,673.51 and 123,398.07 is: 185,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,741.38 : 488,673.51 = 123,398.07 : x
  2. Step 2: Convert to fraction form
    325,741.38/488,673.51 = 123,398.07/x
  3. Step 3: Cross multiply
    325,741.38x = 488,673.51 × 123,398.07
  4. Step 4: Simplify right side
    325,741.38x = 60,301,367,994.13
  5. Step 5: Solve for x
    x = 60,301,367,994.13/325,741.38
  6. Step 6: Final answer
    x = 185,120.38

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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.