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Finding the Fourth Proportional to 686,617.24, 947,531.64 and 380,692.68

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Solution

The fourth proportional to 686,617.24, 947,531.64 and 380,692.68 is: 525,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,617.24 : 947,531.64 = 380,692.68 : x
  2. Step 2: Convert to fraction form
    686,617.24/947,531.64 = 380,692.68/x
  3. Step 3: Cross multiply
    686,617.24x = 947,531.64 × 380,692.68
  4. Step 4: Simplify right side
    686,617.24x = 360,718,359,416.40
  5. Step 5: Solve for x
    x = 360,718,359,416.40/686,617.24
  6. Step 6: Final answer
    x = 525,355.81

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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.