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Finding the Fourth Proportional to 282,697.80, 424,046.70 and 206,590.20

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Solution

The fourth proportional to 282,697.80, 424,046.70 and 206,590.20 is: 309,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,697.80 : 424,046.70 = 206,590.20 : x
  2. Step 2: Convert to fraction form
    282,697.80/424,046.70 = 206,590.20/x
  3. Step 3: Cross multiply
    282,697.80x = 424,046.70 × 206,590.20
  4. Step 4: Simplify right side
    282,697.80x = 87,603,892,562.34
  5. Step 5: Solve for x
    x = 87,603,892,562.34/282,697.80
  6. Step 6: Final answer
    x = 309,885.30

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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.