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Finding the Fourth Proportional to 576,913.44, 864,195.12 and 470,676

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Solution

The fourth proportional to 576,913.44, 864,195.12 and 470,676 is: 705,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,913.44 : 864,195.12 = 470,676 : x
  2. Step 2: Convert to fraction form
    576,913.44/864,195.12 = 470,676/x
  3. Step 3: Cross multiply
    576,913.44x = 864,195.12 × 470,676
  4. Step 4: Simplify right side
    576,913.44x = 406,755,902,301.12
  5. Step 5: Solve for x
    x = 406,755,902,301.12/576,913.44
  6. Step 6: Final answer
    x = 705,055.34

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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.