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Finding the Fourth Proportional to 278,323.84, 417,549.44 and 120,578.56

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Solution

The fourth proportional to 278,323.84, 417,549.44 and 120,578.56 is: 180,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323.84 : 417,549.44 = 120,578.56 : x
  2. Step 2: Convert to fraction form
    278,323.84/417,549.44 = 120,578.56/x
  3. Step 3: Cross multiply
    278,323.84x = 417,549.44 × 120,578.56
  4. Step 4: Simplify right side
    278,323.84x = 50,347,510,204.01
  5. Step 5: Solve for x
    x = 50,347,510,204.01/278,323.84
  6. Step 6: Final answer
    x = 180,895.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.