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Finding the Fourth Proportional to 777,654, 1,073,162.52 and 419,958

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Solution

The fourth proportional to 777,654, 1,073,162.52 and 419,958 is: 579,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,654 : 1,073,162.52 = 419,958 : x
  2. Step 2: Convert to fraction form
    777,654/1,073,162.52 = 419,958/x
  3. Step 3: Cross multiply
    777,654x = 1,073,162.52 × 419,958
  4. Step 4: Simplify right side
    777,654x = 450,683,185,574.16
  5. Step 5: Solve for x
    x = 450,683,185,574.16/777,654
  6. Step 6: Final answer
    x = 579,542.04

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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.