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Finding the Fourth Proportional to 684,833.84, 945,065.56 and 383,027.84

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Solution

The fourth proportional to 684,833.84, 945,065.56 and 383,027.84 is: 528,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,833.84 : 945,065.56 = 383,027.84 : x
  2. Step 2: Convert to fraction form
    684,833.84/945,065.56 = 383,027.84/x
  3. Step 3: Cross multiply
    684,833.84x = 945,065.56 × 383,027.84
  4. Step 4: Simplify right side
    684,833.84x = 361,986,420,105.19
  5. Step 5: Solve for x
    x = 361,986,420,105.19/684,833.84
  6. Step 6: Final answer
    x = 528,575.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.