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Finding the Fourth Proportional to 302,489.10, 453,733.65 and 196,200.90

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Solution

The fourth proportional to 302,489.10, 453,733.65 and 196,200.90 is: 294,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,489.10 : 453,733.65 = 196,200.90 : x
  2. Step 2: Convert to fraction form
    302,489.10/453,733.65 = 196,200.90/x
  3. Step 3: Cross multiply
    302,489.10x = 453,733.65 × 196,200.90
  4. Step 4: Simplify right side
    302,489.10x = 89,022,950,490.29
  5. Step 5: Solve for x
    x = 89,022,950,490.29/302,489.10
  6. Step 6: Final answer
    x = 294,301.35

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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.