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Finding the Fourth Proportional to 470,273.22, 705,187.59 and 182,219.79

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Solution

The fourth proportional to 470,273.22, 705,187.59 and 182,219.79 is: 273,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,273.22 : 705,187.59 = 182,219.79 : x
  2. Step 2: Convert to fraction form
    470,273.22/705,187.59 = 182,219.79/x
  3. Step 3: Cross multiply
    470,273.22x = 705,187.59 × 182,219.79
  4. Step 4: Simplify right side
    470,273.22x = 128,499,134,560.41
  5. Step 5: Solve for x
    x = 128,499,134,560.41/470,273.22
  6. Step 6: Final answer
    x = 273,243.57

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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.