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Finding the Fourth Proportional to 403,932.33, 557,959.05 and 301,780.26

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Solution

The fourth proportional to 403,932.33, 557,959.05 and 301,780.26 is: 416,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,932.33 : 557,959.05 = 301,780.26 : x
  2. Step 2: Convert to fraction form
    403,932.33/557,959.05 = 301,780.26/x
  3. Step 3: Cross multiply
    403,932.33x = 557,959.05 × 301,780.26
  4. Step 4: Simplify right side
    403,932.33x = 168,381,027,178.35
  5. Step 5: Solve for x
    x = 168,381,027,178.35/403,932.33
  6. Step 6: Final answer
    x = 416,854.54

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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.