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Finding the Fourth Proportional to 469,997.93, 705,094.59 and 213,708.36

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Solution

The fourth proportional to 469,997.93, 705,094.59 and 213,708.36 is: 320,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,997.93 : 705,094.59 = 213,708.36 : x
  2. Step 2: Convert to fraction form
    469,997.93/705,094.59 = 213,708.36/x
  3. Step 3: Cross multiply
    469,997.93x = 705,094.59 × 213,708.36
  4. Step 4: Simplify right side
    469,997.93x = 150,684,608,473.77
  5. Step 5: Solve for x
    x = 150,684,608,473.77/469,997.93
  6. Step 6: Final answer
    x = 320,606.97

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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.