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Finding the Fourth Proportional to 541,930.68, 812,597.40 and 186,651.72

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Solution

The fourth proportional to 541,930.68, 812,597.40 and 186,651.72 is: 279,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,930.68 : 812,597.40 = 186,651.72 : x
  2. Step 2: Convert to fraction form
    541,930.68/812,597.40 = 186,651.72/x
  3. Step 3: Cross multiply
    541,930.68x = 812,597.40 × 186,651.72
  4. Step 4: Simplify right side
    541,930.68x = 151,672,702,377.53
  5. Step 5: Solve for x
    x = 151,672,702,377.53/541,930.68
  6. Step 6: Final answer
    x = 279,874.73

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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.