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Finding the Fourth Proportional to 302,274.40, 452,893.20 and 197,039.20

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Solution

The fourth proportional to 302,274.40, 452,893.20 and 197,039.20 is: 295,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,274.40 : 452,893.20 = 197,039.20 : x
  2. Step 2: Convert to fraction form
    302,274.40/452,893.20 = 197,039.20/x
  3. Step 3: Cross multiply
    302,274.40x = 452,893.20 × 197,039.20
  4. Step 4: Simplify right side
    302,274.40x = 89,237,713,813.44
  5. Step 5: Solve for x
    x = 89,237,713,813.44/302,274.40
  6. Step 6: Final answer
    x = 295,220.88

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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.