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Finding the Fourth Proportional to 413,372.50, 620,062.12 and 113,869.60

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Solution

The fourth proportional to 413,372.50, 620,062.12 and 113,869.60 is: 170,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,372.50 : 620,062.12 = 113,869.60 : x
  2. Step 2: Convert to fraction form
    413,372.50/620,062.12 = 113,869.60/x
  3. Step 3: Cross multiply
    413,372.50x = 620,062.12 × 113,869.60
  4. Step 4: Simplify right side
    413,372.50x = 70,606,225,579.55
  5. Step 5: Solve for x
    x = 70,606,225,579.55/413,372.50
  6. Step 6: Final answer
    x = 170,805.33

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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.