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Finding the Fourth Proportional to 470,894.10, 706,118.55 and 171,165.78

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Solution

The fourth proportional to 470,894.10, 706,118.55 and 171,165.78 is: 256,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894.10 : 706,118.55 = 171,165.78 : x
  2. Step 2: Convert to fraction form
    470,894.10/706,118.55 = 171,165.78/x
  3. Step 3: Cross multiply
    470,894.10x = 706,118.55 × 171,165.78
  4. Step 4: Simplify right side
    470,894.10x = 120,863,332,383.22
  5. Step 5: Solve for x
    x = 120,863,332,383.22/470,894.10
  6. Step 6: Final answer
    x = 256,667.76

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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.