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Finding the Fourth Proportional to 772,343.18, 1,065,896.49 and 428,286.96

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Solution

The fourth proportional to 772,343.18, 1,065,896.49 and 428,286.96 is: 591,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,343.18 : 1,065,896.49 = 428,286.96 : x
  2. Step 2: Convert to fraction form
    772,343.18/1,065,896.49 = 428,286.96/x
  3. Step 3: Cross multiply
    772,343.18x = 1,065,896.49 × 428,286.96
  4. Step 4: Simplify right side
    772,343.18x = 456,509,565,235.34
  5. Step 5: Solve for x
    x = 456,509,565,235.34/772,343.18
  6. Step 6: Final answer
    x = 591,070.88

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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.