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Finding the Fourth Proportional to 777,665.75, 1,073,178.75 and 419,969.75

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Solution

The fourth proportional to 777,665.75, 1,073,178.75 and 419,969.75 is: 579,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,665.75 : 1,073,178.75 = 419,969.75 : x
  2. Step 2: Convert to fraction form
    777,665.75/1,073,178.75 = 419,969.75/x
  3. Step 3: Cross multiply
    777,665.75x = 1,073,178.75 × 419,969.75
  4. Step 4: Simplify right side
    777,665.75x = 450,702,611,342.81
  5. Step 5: Solve for x
    x = 450,702,611,342.81/777,665.75
  6. Step 6: Final answer
    x = 579,558.26

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1.5x scale

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.