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Finding the Fourth Proportional to 470,755.76, 705,735.60 and 204,315.98

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Solution

The fourth proportional to 470,755.76, 705,735.60 and 204,315.98 is: 306,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,755.76 : 705,735.60 = 204,315.98 : x
  2. Step 2: Convert to fraction form
    470,755.76/705,735.60 = 204,315.98/x
  3. Step 3: Cross multiply
    470,755.76x = 705,735.60 × 204,315.98
  4. Step 4: Simplify right side
    470,755.76x = 144,193,060,734.89
  5. Step 5: Solve for x
    x = 144,193,060,734.89/470,755.76
  6. Step 6: Final answer
    x = 306,301.21

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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.