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Finding the Fourth Proportional to 536,819.90, 804,538.65 and 411,539.90

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Solution

The fourth proportional to 536,819.90, 804,538.65 and 411,539.90 is: 616,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,819.90 : 804,538.65 = 411,539.90 : x
  2. Step 2: Convert to fraction form
    536,819.90/804,538.65 = 411,539.90/x
  3. Step 3: Cross multiply
    536,819.90x = 804,538.65 × 411,539.90
  4. Step 4: Simplify right side
    536,819.90x = 331,099,755,567.14
  5. Step 5: Solve for x
    x = 331,099,755,567.14/536,819.90
  6. Step 6: Final answer
    x = 616,779.96

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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.