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Finding the Fourth Proportional to 686,589.35, 947,549.14 and 380,696.09

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Solution

The fourth proportional to 686,589.35, 947,549.14 and 380,696.09 is: 525,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,589.35 : 947,549.14 = 380,696.09 : x
  2. Step 2: Convert to fraction form
    686,589.35/947,549.14 = 380,696.09/x
  3. Step 3: Cross multiply
    686,589.35x = 947,549.14 × 380,696.09
  4. Step 4: Simplify right side
    686,589.35x = 360,728,246,991.38
  5. Step 5: Solve for x
    x = 360,728,246,991.38/686,589.35
  6. Step 6: Final answer
    x = 525,391.56

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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.