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Finding the Fourth Proportional to 686,366.87, 946,865.90 and 431,858.39

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Solution

The fourth proportional to 686,366.87, 946,865.90 and 431,858.39 is: 595,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,366.87 : 946,865.90 = 431,858.39 : x
  2. Step 2: Convert to fraction form
    686,366.87/946,865.90 = 431,858.39/x
  3. Step 3: Cross multiply
    686,366.87x = 946,865.90 × 431,858.39
  4. Step 4: Simplify right side
    686,366.87x = 408,911,979,465.22
  5. Step 5: Solve for x
    x = 408,911,979,465.22/686,366.87
  6. Step 6: Final answer
    x = 595,763.00

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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.