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Finding the Fourth Proportional to 230,984, 346,476 and 55,880

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Solution

The fourth proportional to 230,984, 346,476 and 55,880 is: 83,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,984 : 346,476 = 55,880 : x
  2. Step 2: Convert to fraction form
    230,984/346,476 = 55,880/x
  3. Step 3: Cross multiply
    230,984x = 346,476 × 55,880
  4. Step 4: Simplify right side
    230,984x = 19,361,078,880
  5. Step 5: Solve for x
    x = 19,361,078,880/230,984
  6. Step 6: Final answer
    x = 83,820

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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.