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Finding the Fourth Proportional to 431,110.60, 646,358.70 and 164,768.20

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Solution

The fourth proportional to 431,110.60, 646,358.70 and 164,768.20 is: 247,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,110.60 : 646,358.70 = 164,768.20 : x
  2. Step 2: Convert to fraction form
    431,110.60/646,358.70 = 164,768.20/x
  3. Step 3: Cross multiply
    431,110.60x = 646,358.70 × 164,768.20
  4. Step 4: Simplify right side
    431,110.60x = 106,499,359,553.34
  5. Step 5: Solve for x
    x = 106,499,359,553.34/431,110.60
  6. Step 6: Final answer
    x = 247,034.89

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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.