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Finding the Fourth Proportional to 812,085.90, 1,214,672.85 and 728,450.70

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Solution

The fourth proportional to 812,085.90, 1,214,672.85 and 728,450.70 is: 1,089,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,085.90 : 1,214,672.85 = 728,450.70 : x
  2. Step 2: Convert to fraction form
    812,085.90/1,214,672.85 = 728,450.70/x
  3. Step 3: Cross multiply
    812,085.90x = 1,214,672.85 × 728,450.70
  4. Step 4: Simplify right side
    812,085.90x = 884,829,287,853.50
  5. Step 5: Solve for x
    x = 884,829,287,853.50/812,085.90
  6. Step 6: Final answer
    x = 1,089,575.98

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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.