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Finding the Fourth Proportional to 686,381, 946,885.40 and 431,872.52

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Solution

The fourth proportional to 686,381, 946,885.40 and 431,872.52 is: 595,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,381 : 946,885.40 = 431,872.52 : x
  2. Step 2: Convert to fraction form
    686,381/946,885.40 = 431,872.52/x
  3. Step 3: Cross multiply
    686,381x = 946,885.40 × 431,872.52
  4. Step 4: Simplify right side
    686,381x = 408,933,783,849.21
  5. Step 5: Solve for x
    x = 408,933,783,849.21/686,381
  6. Step 6: Final answer
    x = 595,782.49

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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.