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Finding the Fourth Proportional to 470,004.96, 705,087.68 and 185,546.76

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Solution

The fourth proportional to 470,004.96, 705,087.68 and 185,546.76 is: 278,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,004.96 : 705,087.68 = 185,546.76 : x
  2. Step 2: Convert to fraction form
    470,004.96/705,087.68 = 185,546.76/x
  3. Step 3: Cross multiply
    470,004.96x = 705,087.68 × 185,546.76
  4. Step 4: Simplify right side
    470,004.96x = 130,826,734,539.92
  5. Step 5: Solve for x
    x = 130,826,734,539.92/470,004.96
  6. Step 6: Final answer
    x = 278,351.82

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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.