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Finding the Fourth Proportional to 380,714.73, 571,073.37 and 96,405.14

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Solution

The fourth proportional to 380,714.73, 571,073.37 and 96,405.14 is: 144,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,714.73 : 571,073.37 = 96,405.14 : x
  2. Step 2: Convert to fraction form
    380,714.73/571,073.37 = 96,405.14/x
  3. Step 3: Cross multiply
    380,714.73x = 571,073.37 × 96,405.14
  4. Step 4: Simplify right side
    380,714.73x = 55,054,408,185.12
  5. Step 5: Solve for x
    x = 55,054,408,185.12/380,714.73
  6. Step 6: Final answer
    x = 144,608.03

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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.