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Finding the Fourth Proportional to 510,697.34, 765,049.46 and 397,849.17

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Solution

The fourth proportional to 510,697.34, 765,049.46 and 397,849.17 is: 595,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,697.34 : 765,049.46 = 397,849.17 : x
  2. Step 2: Convert to fraction form
    510,697.34/765,049.46 = 397,849.17/x
  3. Step 3: Cross multiply
    510,697.34x = 765,049.46 × 397,849.17
  4. Step 4: Simplify right side
    510,697.34x = 304,374,293,549.64
  5. Step 5: Solve for x
    x = 304,374,293,549.64/510,697.34
  6. Step 6: Final answer
    x = 595,997.41

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1.5x scale

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.