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Finding the Fourth Proportional to 580,036.43, 800,546.48 and 338,319

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Solution

The fourth proportional to 580,036.43, 800,546.48 and 338,319 is: 466,936.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,036.43 : 800,546.48 = 338,319 : x
  2. Step 2: Convert to fraction form
    580,036.43/800,546.48 = 338,319/x
  3. Step 3: Cross multiply
    580,036.43x = 800,546.48 × 338,319
  4. Step 4: Simplify right side
    580,036.43x = 270,840,084,567.12
  5. Step 5: Solve for x
    x = 270,840,084,567.12/580,036.43
  6. Step 6: Final answer
    x = 466,936.33

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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.