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Finding the Fourth Proportional to 777,641, 1,073,144.58 and 419,945

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Solution

The fourth proportional to 777,641, 1,073,144.58 and 419,945 is: 579,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,641 : 1,073,144.58 = 419,945 : x
  2. Step 2: Convert to fraction form
    777,641/1,073,144.58 = 419,945/x
  3. Step 3: Cross multiply
    777,641x = 1,073,144.58 × 419,945
  4. Step 4: Simplify right side
    777,641x = 450,661,700,648.10
  5. Step 5: Solve for x
    x = 450,661,700,648.10/777,641
  6. Step 6: Final answer
    x = 579,524.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.