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Finding the Fourth Proportional to 321,973.80, 482,768.70 and 197,404.20

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Solution

The fourth proportional to 321,973.80, 482,768.70 and 197,404.20 is: 295,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,973.80 : 482,768.70 = 197,404.20 : x
  2. Step 2: Convert to fraction form
    321,973.80/482,768.70 = 197,404.20/x
  3. Step 3: Cross multiply
    321,973.80x = 482,768.70 × 197,404.20
  4. Step 4: Simplify right side
    321,973.80x = 95,300,569,008.54
  5. Step 5: Solve for x
    x = 95,300,569,008.54/321,973.80
  6. Step 6: Final answer
    x = 295,988.58

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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.