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Finding the Fourth Proportional to 686,205.21, 946,935.84 and 380,294.67

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Solution

The fourth proportional to 686,205.21, 946,935.84 and 380,294.67 is: 524,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,205.21 : 946,935.84 = 380,294.67 : x
  2. Step 2: Convert to fraction form
    686,205.21/946,935.84 = 380,294.67/x
  3. Step 3: Cross multiply
    686,205.21x = 946,935.84 × 380,294.67
  4. Step 4: Simplify right side
    686,205.21x = 360,114,652,783.97
  5. Step 5: Solve for x
    x = 360,114,652,783.97/686,205.21
  6. Step 6: Final answer
    x = 524,791.49

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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.