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Finding the Fourth Proportional to 686,371.37, 946,872.09 and 431,862.89

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Solution

The fourth proportional to 686,371.37, 946,872.09 and 431,862.89 is: 595,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,371.37 : 946,872.09 = 431,862.89 : x
  2. Step 2: Convert to fraction form
    686,371.37/946,872.09 = 431,862.89/x
  3. Step 3: Cross multiply
    686,371.37x = 946,872.09 × 431,862.89
  4. Step 4: Simplify right side
    686,371.37x = 408,918,912,513.38
  5. Step 5: Solve for x
    x = 408,918,912,513.38/686,371.37
  6. Step 6: Final answer
    x = 595,769.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.