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Finding the Fourth Proportional to 470,895.36, 706,327.17 and 204,655.91

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Solution

The fourth proportional to 470,895.36, 706,327.17 and 204,655.91 is: 306,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,895.36 : 706,327.17 = 204,655.91 : x
  2. Step 2: Convert to fraction form
    470,895.36/706,327.17 = 204,655.91/x
  3. Step 3: Cross multiply
    470,895.36x = 706,327.17 × 204,655.91
  4. Step 4: Simplify right side
    470,895.36x = 144,554,026,202.44
  5. Step 5: Solve for x
    x = 144,554,026,202.44/470,895.36
  6. Step 6: Final answer
    x = 306,976.96

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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.