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Finding the Fourth Proportional to 431,460.90, 646,644.60 and 164,865.60

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Solution

The fourth proportional to 431,460.90, 646,644.60 and 164,865.60 is: 247,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,460.90 : 646,644.60 = 164,865.60 : x
  2. Step 2: Convert to fraction form
    431,460.90/646,644.60 = 164,865.60/x
  3. Step 3: Cross multiply
    431,460.90x = 646,644.60 × 164,865.60
  4. Step 4: Simplify right side
    431,460.90x = 106,609,449,965.76
  5. Step 5: Solve for x
    x = 106,609,449,965.76/431,460.90
  6. Step 6: Final answer
    x = 247,089.48

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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.