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Finding the Fourth Proportional to 302,407.40, 453,611.10 and 196,119.20

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Solution

The fourth proportional to 302,407.40, 453,611.10 and 196,119.20 is: 294,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,407.40 : 453,611.10 = 196,119.20 : x
  2. Step 2: Convert to fraction form
    302,407.40/453,611.10 = 196,119.20/x
  3. Step 3: Cross multiply
    302,407.40x = 453,611.10 × 196,119.20
  4. Step 4: Simplify right side
    302,407.40x = 88,961,846,043.12
  5. Step 5: Solve for x
    x = 88,961,846,043.12/302,407.40
  6. Step 6: Final answer
    x = 294,178.80

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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.