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Finding the Fourth Proportional to 536,815.90, 804,532.65 and 411,535.90

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Solution

The fourth proportional to 536,815.90, 804,532.65 and 411,535.90 is: 616,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,815.90 : 804,532.65 = 411,535.90 : x
  2. Step 2: Convert to fraction form
    536,815.90/804,532.65 = 411,535.90/x
  3. Step 3: Cross multiply
    536,815.90x = 804,532.65 × 411,535.90
  4. Step 4: Simplify right side
    536,815.90x = 331,094,068,197.14
  5. Step 5: Solve for x
    x = 331,094,068,197.14/536,815.90
  6. Step 6: Final answer
    x = 616,773.96

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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.