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Finding the Fourth Proportional to 541,654.36, 747,430.86 and 323,819.98

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Solution

The fourth proportional to 541,654.36, 747,430.86 and 323,819.98 is: 446,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,654.36 : 747,430.86 = 323,819.98 : x
  2. Step 2: Convert to fraction form
    541,654.36/747,430.86 = 323,819.98/x
  3. Step 3: Cross multiply
    541,654.36x = 747,430.86 × 323,819.98
  4. Step 4: Simplify right side
    541,654.36x = 242,033,046,136.58
  5. Step 5: Solve for x
    x = 242,033,046,136.58/541,654.36
  6. Step 6: Final answer
    x = 446,840.39

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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.