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Finding the Fourth Proportional to 419,100.84, 578,371.44 and 228,126.60

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Solution

The fourth proportional to 419,100.84, 578,371.44 and 228,126.60 is: 314,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,100.84 : 578,371.44 = 228,126.60 : x
  2. Step 2: Convert to fraction form
    419,100.84/578,371.44 = 228,126.60/x
  3. Step 3: Cross multiply
    419,100.84x = 578,371.44 × 228,126.60
  4. Step 4: Simplify right side
    419,100.84x = 131,941,910,144.30
  5. Step 5: Solve for x
    x = 131,941,910,144.30/419,100.84
  6. Step 6: Final answer
    x = 314,821.39

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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.