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Finding the Fourth Proportional to 354,949.99, 490,349.18 and 307,120.30

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Solution

The fourth proportional to 354,949.99, 490,349.18 and 307,120.30 is: 424,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,949.99 : 490,349.18 = 307,120.30 : x
  2. Step 2: Convert to fraction form
    354,949.99/490,349.18 = 307,120.30/x
  3. Step 3: Cross multiply
    354,949.99x = 490,349.18 × 307,120.30
  4. Step 4: Simplify right side
    354,949.99x = 150,596,187,266.35
  5. Step 5: Solve for x
    x = 150,596,187,266.35/354,949.99
  6. Step 6: Final answer
    x = 424,274.38

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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.