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Finding the Fourth Proportional to 436,491.98, 654,182.81 and 196,349.12

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Solution

The fourth proportional to 436,491.98, 654,182.81 and 196,349.12 is: 294,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,491.98 : 654,182.81 = 196,349.12 : x
  2. Step 2: Convert to fraction form
    436,491.98/654,182.81 = 196,349.12/x
  3. Step 3: Cross multiply
    436,491.98x = 654,182.81 × 196,349.12
  4. Step 4: Simplify right side
    436,491.98x = 128,448,219,062.63
  5. Step 5: Solve for x
    x = 128,448,219,062.63/436,491.98
  6. Step 6: Final answer
    x = 294,273.95

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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.