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Finding the Fourth Proportional to 321,975.40, 482,574.30 and 164,122.60

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Solution

The fourth proportional to 321,975.40, 482,574.30 and 164,122.60 is: 245,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,975.40 : 482,574.30 = 164,122.60 : x
  2. Step 2: Convert to fraction form
    321,975.40/482,574.30 = 164,122.60/x
  3. Step 3: Cross multiply
    321,975.40x = 482,574.30 × 164,122.60
  4. Step 4: Simplify right side
    321,975.40x = 79,201,348,809.18
  5. Step 5: Solve for x
    x = 79,201,348,809.18/321,975.40
  6. Step 6: Final answer
    x = 245,985.71

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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.