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Finding the Fourth Proportional to 383,712.87, 575,968.52 and 282,625.07

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Solution

The fourth proportional to 383,712.87, 575,968.52 and 282,625.07 is: 424,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,712.87 : 575,968.52 = 282,625.07 : x
  2. Step 2: Convert to fraction form
    383,712.87/575,968.52 = 282,625.07/x
  3. Step 3: Cross multiply
    383,712.87x = 575,968.52 × 282,625.07
  4. Step 4: Simplify right side
    383,712.87x = 162,783,143,282.80
  5. Step 5: Solve for x
    x = 162,783,143,282.80/383,712.87
  6. Step 6: Final answer
    x = 424,231.65

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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.