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Finding the Fourth Proportional to 384,819.32, 531,199.14 and 344,461.88

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Solution

The fourth proportional to 384,819.32, 531,199.14 and 344,461.88 is: 475,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,819.32 : 531,199.14 = 344,461.88 : x
  2. Step 2: Convert to fraction form
    384,819.32/531,199.14 = 344,461.88/x
  3. Step 3: Cross multiply
    384,819.32x = 531,199.14 × 344,461.88
  4. Step 4: Simplify right side
    384,819.32x = 182,977,854,418.78
  5. Step 5: Solve for x
    x = 182,977,854,418.78/384,819.32
  6. Step 6: Final answer
    x = 475,490.30

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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.