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Finding the Fourth Proportional to 470,958.39, 706,431.51 and 115,975.53

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Solution

The fourth proportional to 470,958.39, 706,431.51 and 115,975.53 is: 173,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,958.39 : 706,431.51 = 115,975.53 : x
  2. Step 2: Convert to fraction form
    470,958.39/706,431.51 = 115,975.53/x
  3. Step 3: Cross multiply
    470,958.39x = 706,431.51 × 115,975.53
  4. Step 4: Simplify right side
    470,958.39x = 81,928,768,780.95
  5. Step 5: Solve for x
    x = 81,928,768,780.95/470,958.39
  6. Step 6: Final answer
    x = 173,961.80

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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.