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Finding the Fourth Proportional to 735,768.63, 1,015,347.15 and 413,474.09

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Solution

The fourth proportional to 735,768.63, 1,015,347.15 and 413,474.09 is: 570,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,768.63 : 1,015,347.15 = 413,474.09 : x
  2. Step 2: Convert to fraction form
    735,768.63/1,015,347.15 = 413,474.09/x
  3. Step 3: Cross multiply
    735,768.63x = 1,015,347.15 × 413,474.09
  4. Step 4: Simplify right side
    735,768.63x = 419,819,733,803.61
  5. Step 5: Solve for x
    x = 419,819,733,803.61/735,768.63
  6. Step 6: Final answer
    x = 570,586.62

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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.