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Finding the Fourth Proportional to 463,950, 695,925 and 113,742

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Solution

The fourth proportional to 463,950, 695,925 and 113,742 is: 170,613

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,950 : 695,925 = 113,742 : x
  2. Step 2: Convert to fraction form
    463,950/695,925 = 113,742/x
  3. Step 3: Cross multiply
    463,950x = 695,925 × 113,742
  4. Step 4: Simplify right side
    463,950x = 79,155,901,350
  5. Step 5: Solve for x
    x = 79,155,901,350/463,950
  6. Step 6: Final answer
    x = 170,613

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.