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Finding the Fourth Proportional to 406,793.47, 561,380.06 and 234,747.14

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Solution

The fourth proportional to 406,793.47, 561,380.06 and 234,747.14 is: 323,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,793.47 : 561,380.06 = 234,747.14 : x
  2. Step 2: Convert to fraction form
    406,793.47/561,380.06 = 234,747.14/x
  3. Step 3: Cross multiply
    406,793.47x = 561,380.06 × 234,747.14
  4. Step 4: Simplify right side
    406,793.47x = 131,782,362,236.65
  5. Step 5: Solve for x
    x = 131,782,362,236.65/406,793.47
  6. Step 6: Final answer
    x = 323,953.98

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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.