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Finding the Fourth Proportional to 470,016, 705,024 and 119,808

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Solution

The fourth proportional to 470,016, 705,024 and 119,808 is: 179,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,016 : 705,024 = 119,808 : x
  2. Step 2: Convert to fraction form
    470,016/705,024 = 119,808/x
  3. Step 3: Cross multiply
    470,016x = 705,024 × 119,808
  4. Step 4: Simplify right side
    470,016x = 84,467,515,392
  5. Step 5: Solve for x
    x = 84,467,515,392/470,016
  6. Step 6: Final answer
    x = 179,712

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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.