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Finding the Fourth Proportional to 470,892.60, 706,116.30 and 171,164.28

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Solution

The fourth proportional to 470,892.60, 706,116.30 and 171,164.28 is: 256,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.60 : 706,116.30 = 171,164.28 : x
  2. Step 2: Convert to fraction form
    470,892.60/706,116.30 = 171,164.28/x
  3. Step 3: Cross multiply
    470,892.60x = 706,116.30 × 171,164.28
  4. Step 4: Simplify right side
    470,892.60x = 120,861,888,085.76
  5. Step 5: Solve for x
    x = 120,861,888,085.76/470,892.60
  6. Step 6: Final answer
    x = 256,665.51

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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.