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Finding the Fourth Proportional to 686,372.49, 946,873.65 and 431,864.01

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Solution

The fourth proportional to 686,372.49, 946,873.65 and 431,864.01 is: 595,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,372.49 : 946,873.65 = 431,864.01 : x
  2. Step 2: Convert to fraction form
    686,372.49/946,873.65 = 431,864.01/x
  3. Step 3: Cross multiply
    686,372.49x = 946,873.65 × 431,864.01
  4. Step 4: Simplify right side
    686,372.49x = 408,920,651,452.34
  5. Step 5: Solve for x
    x = 408,920,651,452.34/686,372.49
  6. Step 6: Final answer
    x = 595,770.75

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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.