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Finding the Fourth Proportional to 347,175.36, 520,771.68 and 97,848

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Solution

The fourth proportional to 347,175.36, 520,771.68 and 97,848 is: 146,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,175.36 : 520,771.68 = 97,848 : x
  2. Step 2: Convert to fraction form
    347,175.36/520,771.68 = 97,848/x
  3. Step 3: Cross multiply
    347,175.36x = 520,771.68 × 97,848
  4. Step 4: Simplify right side
    347,175.36x = 50,956,467,344.64
  5. Step 5: Solve for x
    x = 50,956,467,344.64/347,175.36
  6. Step 6: Final answer
    x = 146,774.44

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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.