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Finding the Fourth Proportional to 470,533.14, 705,402.90 and 204,092.96

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Solution

The fourth proportional to 470,533.14, 705,402.90 and 204,092.96 is: 305,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,533.14 : 705,402.90 = 204,092.96 : x
  2. Step 2: Convert to fraction form
    470,533.14/705,402.90 = 204,092.96/x
  3. Step 3: Cross multiply
    470,533.14x = 705,402.90 × 204,092.96
  4. Step 4: Simplify right side
    470,533.14x = 143,967,765,853.58
  5. Step 5: Solve for x
    x = 143,967,765,853.58/470,533.14
  6. Step 6: Final answer
    x = 305,967.32

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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.