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Finding the Fourth Proportional to 323,131.73, 484,769.54 and 98,509.64

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Solution

The fourth proportional to 323,131.73, 484,769.54 and 98,509.64 is: 147,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,131.73 : 484,769.54 = 98,509.64 : x
  2. Step 2: Convert to fraction form
    323,131.73/484,769.54 = 98,509.64/x
  3. Step 3: Cross multiply
    323,131.73x = 484,769.54 × 98,509.64
  4. Step 4: Simplify right side
    323,131.73x = 47,754,470,690.79
  5. Step 5: Solve for x
    x = 47,754,470,690.79/323,131.73
  6. Step 6: Final answer
    x = 147,786.39

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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.