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Finding the Fourth Proportional to 380,714.22, 571,072.62 and 96,404.64

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Solution

The fourth proportional to 380,714.22, 571,072.62 and 96,404.64 is: 144,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,714.22 : 571,072.62 = 96,404.64 : x
  2. Step 2: Convert to fraction form
    380,714.22/571,072.62 = 96,404.64/x
  3. Step 3: Cross multiply
    380,714.22x = 571,072.62 × 96,404.64
  4. Step 4: Simplify right side
    380,714.22x = 55,054,050,344.96
  5. Step 5: Solve for x
    x = 55,054,050,344.96/380,714.22
  6. Step 6: Final answer
    x = 144,607.29

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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.