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Finding the Fourth Proportional to 470,889.92, 706,319.01 and 204,650.46

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Solution

The fourth proportional to 470,889.92, 706,319.01 and 204,650.46 is: 306,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,889.92 : 706,319.01 = 204,650.46 : x
  2. Step 2: Convert to fraction form
    470,889.92/706,319.01 = 204,650.46/x
  3. Step 3: Cross multiply
    470,889.92x = 706,319.01 × 204,650.46
  4. Step 4: Simplify right side
    470,889.92x = 144,548,510,303.25
  5. Step 5: Solve for x
    x = 144,548,510,303.25/470,889.92
  6. Step 6: Final answer
    x = 306,968.79

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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.