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Finding the Fourth Proportional to 598,483, 825,906.54 and 330,211

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Solution

The fourth proportional to 598,483, 825,906.54 and 330,211 is: 455,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,483 : 825,906.54 = 330,211 : x
  2. Step 2: Convert to fraction form
    598,483/825,906.54 = 330,211/x
  3. Step 3: Cross multiply
    598,483x = 825,906.54 × 330,211
  4. Step 4: Simplify right side
    598,483x = 272,723,424,479.94
  5. Step 5: Solve for x
    x = 272,723,424,479.94/598,483
  6. Step 6: Final answer
    x = 455,691.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.