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Finding the Fourth Proportional to 692,892, 956,193.84 and 374,940

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Solution

The fourth proportional to 692,892, 956,193.84 and 374,940 is: 517,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,892 : 956,193.84 = 374,940 : x
  2. Step 2: Convert to fraction form
    692,892/956,193.84 = 374,940/x
  3. Step 3: Cross multiply
    692,892x = 956,193.84 × 374,940
  4. Step 4: Simplify right side
    692,892x = 358,515,318,369.60
  5. Step 5: Solve for x
    x = 358,515,318,369.60/692,892
  6. Step 6: Final answer
    x = 517,418.76

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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.