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Finding the Fourth Proportional to 336,777, 464,752.80 and 185,874

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Solution

The fourth proportional to 336,777, 464,752.80 and 185,874 is: 256,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,777 : 464,752.80 = 185,874 : x
  2. Step 2: Convert to fraction form
    336,777/464,752.80 = 185,874/x
  3. Step 3: Cross multiply
    336,777x = 464,752.80 × 185,874
  4. Step 4: Simplify right side
    336,777x = 86,385,461,947.20
  5. Step 5: Solve for x
    x = 86,385,461,947.20/336,777
  6. Step 6: Final answer
    x = 256,506.42

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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.