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Finding the Fourth Proportional to 470,405.22, 649,164.74 and 255,548.67

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Solution

The fourth proportional to 470,405.22, 649,164.74 and 255,548.67 is: 352,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,405.22 : 649,164.74 = 255,548.67 : x
  2. Step 2: Convert to fraction form
    470,405.22/649,164.74 = 255,548.67/x
  3. Step 3: Cross multiply
    470,405.22x = 649,164.74 × 255,548.67
  4. Step 4: Simplify right side
    470,405.22x = 165,893,185,917.90
  5. Step 5: Solve for x
    x = 165,893,185,917.90/470,405.22
  6. Step 6: Final answer
    x = 352,660.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.