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Finding the Fourth Proportional to 471,503.68, 650,730.41 and 264,805.96

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Solution

The fourth proportional to 471,503.68, 650,730.41 and 264,805.96 is: 365,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,503.68 : 650,730.41 = 264,805.96 : x
  2. Step 2: Convert to fraction form
    471,503.68/650,730.41 = 264,805.96/x
  3. Step 3: Cross multiply
    471,503.68x = 650,730.41 × 264,805.96
  4. Step 4: Simplify right side
    471,503.68x = 172,317,290,183.53
  5. Step 5: Solve for x
    x = 172,317,290,183.53/471,503.68
  6. Step 6: Final answer
    x = 365,463.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.