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Finding the Fourth Proportional to 576,905.44, 864,183.12 and 470,668

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Solution

The fourth proportional to 576,905.44, 864,183.12 and 470,668 is: 705,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,905.44 : 864,183.12 = 470,668 : x
  2. Step 2: Convert to fraction form
    576,905.44/864,183.12 = 470,668/x
  3. Step 3: Cross multiply
    576,905.44x = 864,183.12 × 470,668
  4. Step 4: Simplify right side
    576,905.44x = 406,743,340,724.16
  5. Step 5: Solve for x
    x = 406,743,340,724.16/576,905.44
  6. Step 6: Final answer
    x = 705,043.34

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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.