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Finding the Fourth Proportional to 436,491.48, 654,182.06 and 196,348.62

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Solution

The fourth proportional to 436,491.48, 654,182.06 and 196,348.62 is: 294,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,491.48 : 654,182.06 = 196,348.62 : x
  2. Step 2: Convert to fraction form
    436,491.48/654,182.06 = 196,348.62/x
  3. Step 3: Cross multiply
    436,491.48x = 654,182.06 × 196,348.62
  4. Step 4: Simplify right side
    436,491.48x = 128,447,744,709.76
  5. Step 5: Solve for x
    x = 128,447,744,709.76/436,491.48
  6. Step 6: Final answer
    x = 294,273.20

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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.