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Finding the Fourth Proportional to 686,113.98, 946,858.04 and 380,161.76

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Solution

The fourth proportional to 686,113.98, 946,858.04 and 380,161.76 is: 524,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,113.98 : 946,858.04 = 380,161.76 : x
  2. Step 2: Convert to fraction form
    686,113.98/946,858.04 = 380,161.76/x
  3. Step 3: Cross multiply
    686,113.98x = 946,858.04 × 380,161.76
  4. Step 4: Simplify right side
    686,113.98x = 359,959,213,747.06
  5. Step 5: Solve for x
    x = 359,959,213,747.06/686,113.98
  6. Step 6: Final answer
    x = 524,634.72

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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.