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Finding the Fourth Proportional to 470,581.92, 705,871.20 and 204,307.68

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Solution

The fourth proportional to 470,581.92, 705,871.20 and 204,307.68 is: 306,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,581.92 : 705,871.20 = 204,307.68 : x
  2. Step 2: Convert to fraction form
    470,581.92/705,871.20 = 204,307.68/x
  3. Step 3: Cross multiply
    470,581.92x = 705,871.20 × 204,307.68
  4. Step 4: Simplify right side
    470,581.92x = 144,214,907,250.82
  5. Step 5: Solve for x
    x = 144,214,907,250.82/470,581.92
  6. Step 6: Final answer
    x = 306,460.79

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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.