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Finding the Fourth Proportional to 384,817.32, 531,196.38 and 344,459.88

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Solution

The fourth proportional to 384,817.32, 531,196.38 and 344,459.88 is: 475,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,817.32 : 531,196.38 = 344,459.88 : x
  2. Step 2: Convert to fraction form
    384,817.32/531,196.38 = 344,459.88/x
  3. Step 3: Cross multiply
    384,817.32x = 531,196.38 × 344,459.88
  4. Step 4: Simplify right side
    384,817.32x = 182,975,841,311.23
  5. Step 5: Solve for x
    x = 182,975,841,311.23/384,817.32
  6. Step 6: Final answer
    x = 475,487.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.