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Finding the Fourth Proportional to 576,961.44, 864,267.12 and 470,724

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Solution

The fourth proportional to 576,961.44, 864,267.12 and 470,724 is: 705,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,961.44 : 864,267.12 = 470,724 : x
  2. Step 2: Convert to fraction form
    576,961.44/864,267.12 = 470,724/x
  3. Step 3: Cross multiply
    576,961.44x = 864,267.12 × 470,724
  4. Step 4: Simplify right side
    576,961.44x = 406,831,275,794.88
  5. Step 5: Solve for x
    x = 406,831,275,794.88/576,961.44
  6. Step 6: Final answer
    x = 705,127.32

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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.