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Finding the Fourth Proportional to 519,114.30, 778,890.15 and 282,626.70

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Solution

The fourth proportional to 519,114.30, 778,890.15 and 282,626.70 is: 424,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,114.30 : 778,890.15 = 282,626.70 : x
  2. Step 2: Convert to fraction form
    519,114.30/778,890.15 = 282,626.70/x
  3. Step 3: Cross multiply
    519,114.30x = 778,890.15 × 282,626.70
  4. Step 4: Simplify right side
    519,114.30x = 220,135,152,757.01
  5. Step 5: Solve for x
    x = 220,135,152,757.01/519,114.30
  6. Step 6: Final answer
    x = 424,059.12

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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.