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Finding the Fourth Proportional to 772,468.85, 1,065,969.87 and 428,318.77

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Solution

The fourth proportional to 772,468.85, 1,065,969.87 and 428,318.77 is: 591,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,468.85 : 1,065,969.87 = 428,318.77 : x
  2. Step 2: Convert to fraction form
    772,468.85/1,065,969.87 = 428,318.77/x
  3. Step 3: Cross multiply
    772,468.85x = 1,065,969.87 × 428,318.77
  4. Step 4: Simplify right side
    772,468.85x = 456,574,902,516.73
  5. Step 5: Solve for x
    x = 456,574,902,516.73/772,468.85
  6. Step 6: Final answer
    x = 591,059.30

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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.