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Finding the Fourth Proportional to 832,896, 1,149,308.28 and 470,297.88

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Solution

The fourth proportional to 832,896, 1,149,308.28 and 470,297.88 is: 648,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,896 : 1,149,308.28 = 470,297.88 : x
  2. Step 2: Convert to fraction form
    832,896/1,149,308.28 = 470,297.88/x
  3. Step 3: Cross multiply
    832,896x = 1,149,308.28 × 470,297.88
  4. Step 4: Simplify right side
    832,896x = 540,517,247,550.45
  5. Step 5: Solve for x
    x = 540,517,247,550.45/832,896
  6. Step 6: Final answer
    x = 648,961.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.