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Finding the Fourth Proportional to 686,597.45, 947,504.12 and 380,673

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Solution

The fourth proportional to 686,597.45, 947,504.12 and 380,673 is: 525,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,597.45 : 947,504.12 = 380,673 : x
  2. Step 2: Convert to fraction form
    686,597.45/947,504.12 = 380,673/x
  3. Step 3: Cross multiply
    686,597.45x = 947,504.12 × 380,673
  4. Step 4: Simplify right side
    686,597.45x = 360,689,233,969.40
  5. Step 5: Solve for x
    x = 360,689,233,969.40/686,597.45
  6. Step 6: Final answer
    x = 525,328.54

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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.