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Finding the Fourth Proportional to 343,936, 474,631.68 and 193,033

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Solution

The fourth proportional to 343,936, 474,631.68 and 193,033 is: 266,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,936 : 474,631.68 = 193,033 : x
  2. Step 2: Convert to fraction form
    343,936/474,631.68 = 193,033/x
  3. Step 3: Cross multiply
    343,936x = 474,631.68 × 193,033
  4. Step 4: Simplify right side
    343,936x = 91,619,577,085.44
  5. Step 5: Solve for x
    x = 91,619,577,085.44/343,936
  6. Step 6: Final answer
    x = 266,385.54

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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.