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Finding the Fourth Proportional to 415,841.81, 623,745.32 and 227,495.48

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Solution

The fourth proportional to 415,841.81, 623,745.32 and 227,495.48 is: 341,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,841.81 : 623,745.32 = 227,495.48 : x
  2. Step 2: Convert to fraction form
    415,841.81/623,745.32 = 227,495.48/x
  3. Step 3: Cross multiply
    415,841.81x = 623,745.32 × 227,495.48
  4. Step 4: Simplify right side
    415,841.81x = 141,899,236,714.95
  5. Step 5: Solve for x
    x = 141,899,236,714.95/415,841.81
  6. Step 6: Final answer
    x = 341,233.70

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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.