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Finding the Fourth Proportional to 470,896.70, 706,345.05 and 115,906.10

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Solution

The fourth proportional to 470,896.70, 706,345.05 and 115,906.10 is: 173,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,896.70 : 706,345.05 = 115,906.10 : x
  2. Step 2: Convert to fraction form
    470,896.70/706,345.05 = 115,906.10/x
  3. Step 3: Cross multiply
    470,896.70x = 706,345.05 × 115,906.10
  4. Step 4: Simplify right side
    470,896.70x = 81,869,699,999.81
  5. Step 5: Solve for x
    x = 81,869,699,999.81/470,896.70
  6. Step 6: Final answer
    x = 173,859.15

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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.