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Finding the Fourth Proportional to 598,405.35, 825,941.12 and 343,904.07

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Solution

The fourth proportional to 598,405.35, 825,941.12 and 343,904.07 is: 474,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,405.35 : 825,941.12 = 343,904.07 : x
  2. Step 2: Convert to fraction form
    598,405.35/825,941.12 = 343,904.07/x
  3. Step 3: Cross multiply
    598,405.35x = 825,941.12 × 343,904.07
  4. Step 4: Simplify right side
    598,405.35x = 284,044,511,028.84
  5. Step 5: Solve for x
    x = 284,044,511,028.84/598,405.35
  6. Step 6: Final answer
    x = 474,669.07

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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.