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Finding the Fourth Proportional to 296,653.78, 444,801.26 and 116,523.58

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Solution

The fourth proportional to 296,653.78, 444,801.26 and 116,523.58 is: 174,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,653.78 : 444,801.26 = 116,523.58 : x
  2. Step 2: Convert to fraction form
    296,653.78/444,801.26 = 116,523.58/x
  3. Step 3: Cross multiply
    296,653.78x = 444,801.26 × 116,523.58
  4. Step 4: Simplify right side
    296,653.78x = 51,829,834,383.02
  5. Step 5: Solve for x
    x = 51,829,834,383.02/296,653.78
  6. Step 6: Final answer
    x = 174,714.90

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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.