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Finding the Fourth Proportional to 321,951.70, 482,932.01 and 97,314

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Solution

The fourth proportional to 321,951.70, 482,932.01 and 97,314 is: 145,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,951.70 : 482,932.01 = 97,314 : x
  2. Step 2: Convert to fraction form
    321,951.70/482,932.01 = 97,314/x
  3. Step 3: Cross multiply
    321,951.70x = 482,932.01 × 97,314
  4. Step 4: Simplify right side
    321,951.70x = 46,996,045,621.14
  5. Step 5: Solve for x
    x = 46,996,045,621.14/321,951.70
  6. Step 6: Final answer
    x = 145,972.35

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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.