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Finding the Fourth Proportional to 321,048.06, 481,576.13 and 96,395.42

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Solution

The fourth proportional to 321,048.06, 481,576.13 and 96,395.42 is: 144,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,048.06 : 481,576.13 = 96,395.42 : x
  2. Step 2: Convert to fraction form
    321,048.06/481,576.13 = 96,395.42/x
  3. Step 3: Cross multiply
    321,048.06x = 481,576.13 × 96,395.42
  4. Step 4: Simplify right side
    321,048.06x = 46,421,730,423.47
  5. Step 5: Solve for x
    x = 46,421,730,423.47/321,048.06
  6. Step 6: Final answer
    x = 144,594.33

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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.