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Finding the Fourth Proportional to 234,946, 324,494.64 and 154,732

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Solution

The fourth proportional to 234,946, 324,494.64 and 154,732 is: 213,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,946 : 324,494.64 = 154,732 : x
  2. Step 2: Convert to fraction form
    234,946/324,494.64 = 154,732/x
  3. Step 3: Cross multiply
    234,946x = 324,494.64 × 154,732
  4. Step 4: Simplify right side
    234,946x = 50,209,704,636.48
  5. Step 5: Solve for x
    x = 50,209,704,636.48/234,946
  6. Step 6: Final answer
    x = 213,707.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.