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Finding the Fourth Proportional to 470,891.10, 706,114.05 and 171,162.78

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Solution

The fourth proportional to 470,891.10, 706,114.05 and 171,162.78 is: 256,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,891.10 : 706,114.05 = 171,162.78 : x
  2. Step 2: Convert to fraction form
    470,891.10/706,114.05 = 171,162.78/x
  3. Step 3: Cross multiply
    470,891.10x = 706,114.05 × 171,162.78
  4. Step 4: Simplify right side
    470,891.10x = 120,860,443,795.06
  5. Step 5: Solve for x
    x = 120,860,443,795.06/470,891.10
  6. Step 6: Final answer
    x = 256,663.26

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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.