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Finding the Fourth Proportional to 686,029.85, 946,419.63 and 413,945.99

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Solution

The fourth proportional to 686,029.85, 946,419.63 and 413,945.99 is: 571,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,029.85 : 946,419.63 = 413,945.99 : x
  2. Step 2: Convert to fraction form
    686,029.85/946,419.63 = 413,945.99/x
  3. Step 3: Cross multiply
    686,029.85x = 946,419.63 × 413,945.99
  4. Step 4: Simplify right side
    686,029.85x = 391,766,610,695.78
  5. Step 5: Solve for x
    x = 391,766,610,695.78/686,029.85
  6. Step 6: Final answer
    x = 571,063.51

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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.