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Finding the Fourth Proportional to 470,760.25, 706,127.30 and 171,246.34

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Solution

The fourth proportional to 470,760.25, 706,127.30 and 171,246.34 is: 256,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,760.25 : 706,127.30 = 171,246.34 : x
  2. Step 2: Convert to fraction form
    470,760.25/706,127.30 = 171,246.34/x
  3. Step 3: Cross multiply
    470,760.25x = 706,127.30 × 171,246.34
  4. Step 4: Simplify right side
    470,760.25x = 120,921,715,699.08
  5. Step 5: Solve for x
    x = 120,921,715,699.08/470,760.25
  6. Step 6: Final answer
    x = 256,864.76

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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.