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Finding the Fourth Proportional to 406,751.92, 609,721.44 and 193,144

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Solution

The fourth proportional to 406,751.92, 609,721.44 and 193,144 is: 289,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,751.92 : 609,721.44 = 193,144 : x
  2. Step 2: Convert to fraction form
    406,751.92/609,721.44 = 193,144/x
  3. Step 3: Cross multiply
    406,751.92x = 609,721.44 × 193,144
  4. Step 4: Simplify right side
    406,751.92x = 117,764,037,807.36
  5. Step 5: Solve for x
    x = 117,764,037,807.36/406,751.92
  6. Step 6: Final answer
    x = 289,523.00

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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.