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Finding the Fourth Proportional to 601,644.29, 830,163.89 and 343,403.33

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Solution

The fourth proportional to 601,644.29, 830,163.89 and 343,403.33 is: 473,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,644.29 : 830,163.89 = 343,403.33 : x
  2. Step 2: Convert to fraction form
    601,644.29/830,163.89 = 343,403.33/x
  3. Step 3: Cross multiply
    601,644.29x = 830,163.89 × 343,403.33
  4. Step 4: Simplify right side
    601,644.29x = 285,081,038,403.92
  5. Step 5: Solve for x
    x = 285,081,038,403.92/601,644.29
  6. Step 6: Final answer
    x = 473,836.53

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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.