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Finding the Fourth Proportional to 777,644, 1,073,148.72 and 419,948

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Solution

The fourth proportional to 777,644, 1,073,148.72 and 419,948 is: 579,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,644 : 1,073,148.72 = 419,948 : x
  2. Step 2: Convert to fraction form
    777,644/1,073,148.72 = 419,948/x
  3. Step 3: Cross multiply
    777,644x = 1,073,148.72 × 419,948
  4. Step 4: Simplify right side
    777,644x = 450,666,658,666.56
  5. Step 5: Solve for x
    x = 450,666,658,666.56/777,644
  6. Step 6: Final answer
    x = 579,528.24

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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.