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Finding the Fourth Proportional to 686,646.44, 947,583.49 and 380,735.73

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Solution

The fourth proportional to 686,646.44, 947,583.49 and 380,735.73 is: 525,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,646.44 : 947,583.49 = 380,735.73 : x
  2. Step 2: Convert to fraction form
    686,646.44/947,583.49 = 380,735.73/x
  3. Step 3: Cross multiply
    686,646.44x = 947,583.49 × 380,735.73
  4. Step 4: Simplify right side
    686,646.44x = 360,778,891,801.10
  5. Step 5: Solve for x
    x = 360,778,891,801.10/686,646.44
  6. Step 6: Final answer
    x = 525,421.63

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