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Finding the Fourth Proportional to 309,703.82, 464,241.99 and 209,874.11

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Solution

The fourth proportional to 309,703.82, 464,241.99 and 209,874.11 is: 314,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,703.82 : 464,241.99 = 209,874.11 : x
  2. Step 2: Convert to fraction form
    309,703.82/464,241.99 = 209,874.11/x
  3. Step 3: Cross multiply
    309,703.82x = 464,241.99 × 209,874.11
  4. Step 4: Simplify right side
    309,703.82x = 97,432,374,475.88
  5. Step 5: Solve for x
    x = 97,432,374,475.88/309,703.82
  6. Step 6: Final answer
    x = 314,598.56

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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.