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Finding the Fourth Proportional to 343,614.30, 514,459.78 and 259,110

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Solution

The fourth proportional to 343,614.30, 514,459.78 and 259,110 is: 387,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,614.30 : 514,459.78 = 259,110 : x
  2. Step 2: Convert to fraction form
    343,614.30/514,459.78 = 259,110/x
  3. Step 3: Cross multiply
    343,614.30x = 514,459.78 × 259,110
  4. Step 4: Simplify right side
    343,614.30x = 133,301,673,595.80
  5. Step 5: Solve for x
    x = 133,301,673,595.80/343,614.30
  6. Step 6: Final answer
    x = 387,939.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.