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Finding the Fourth Proportional to 321,636.63, 482,298.96 and 96,955.20

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Solution

The fourth proportional to 321,636.63, 482,298.96 and 96,955.20 is: 145,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,636.63 : 482,298.96 = 96,955.20 : x
  2. Step 2: Convert to fraction form
    321,636.63/482,298.96 = 96,955.20/x
  3. Step 3: Cross multiply
    321,636.63x = 482,298.96 × 96,955.20
  4. Step 4: Simplify right side
    321,636.63x = 46,761,392,126.59
  5. Step 5: Solve for x
    x = 46,761,392,126.59/321,636.63
  6. Step 6: Final answer
    x = 145,385.78

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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.