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Finding the Fourth Proportional to 343,945, 474,644.10 and 193,042

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Solution

The fourth proportional to 343,945, 474,644.10 and 193,042 is: 266,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,945 : 474,644.10 = 193,042 : x
  2. Step 2: Convert to fraction form
    343,945/474,644.10 = 193,042/x
  3. Step 3: Cross multiply
    343,945x = 474,644.10 × 193,042
  4. Step 4: Simplify right side
    343,945x = 91,626,246,352.20
  5. Step 5: Solve for x
    x = 91,626,246,352.20/343,945
  6. Step 6: Final answer
    x = 266,397.96

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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.