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Finding the Fourth Proportional to 345,896.96, 477,331.44 and 194,994.08

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Solution

The fourth proportional to 345,896.96, 477,331.44 and 194,994.08 is: 269,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,896.96 : 477,331.44 = 194,994.08 : x
  2. Step 2: Convert to fraction form
    345,896.96/477,331.44 = 194,994.08/x
  3. Step 3: Cross multiply
    345,896.96x = 477,331.44 × 194,994.08
  4. Step 4: Simplify right side
    345,896.96x = 93,076,804,997.88
  5. Step 5: Solve for x
    x = 93,076,804,997.88/345,896.96
  6. Step 6: Final answer
    x = 269,088.24

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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.