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Finding the Fourth Proportional to 355,606.30, 490,736.68 and 194,461.46

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Solution

The fourth proportional to 355,606.30, 490,736.68 and 194,461.46 is: 268,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,606.30 : 490,736.68 = 194,461.46 : x
  2. Step 2: Convert to fraction form
    355,606.30/490,736.68 = 194,461.46/x
  3. Step 3: Cross multiply
    355,606.30x = 490,736.68 × 194,461.46
  4. Step 4: Simplify right side
    355,606.30x = 95,429,370,168.78
  5. Step 5: Solve for x
    x = 95,429,370,168.78/355,606.30
  6. Step 6: Final answer
    x = 268,356.80

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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.