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Finding the Fourth Proportional to 409,116.80, 613,383.60 and 156,299.60

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Solution

The fourth proportional to 409,116.80, 613,383.60 and 156,299.60 is: 234,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,116.80 : 613,383.60 = 156,299.60 : x
  2. Step 2: Convert to fraction form
    409,116.80/613,383.60 = 156,299.60/x
  3. Step 3: Cross multiply
    409,116.80x = 613,383.60 × 156,299.60
  4. Step 4: Simplify right side
    409,116.80x = 95,871,611,326.56
  5. Step 5: Solve for x
    x = 95,871,611,326.56/409,116.80
  6. Step 6: Final answer
    x = 234,338.00

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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.