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Finding the Fourth Proportional to 536,825.40, 804,546.90 and 411,545.40

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Solution

The fourth proportional to 536,825.40, 804,546.90 and 411,545.40 is: 616,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,825.40 : 804,546.90 = 411,545.40 : x
  2. Step 2: Convert to fraction form
    536,825.40/804,546.90 = 411,545.40/x
  3. Step 3: Cross multiply
    536,825.40x = 804,546.90 × 411,545.40
  4. Step 4: Simplify right side
    536,825.40x = 331,107,575,779.26
  5. Step 5: Solve for x
    x = 331,107,575,779.26/536,825.40
  6. Step 6: Final answer
    x = 616,788.21

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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.