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Finding the Fourth Proportional to 706,212.75, 974,532.21 and 383,920.03

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Solution

The fourth proportional to 706,212.75, 974,532.21 and 383,920.03 is: 529,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,212.75 : 974,532.21 = 383,920.03 : x
  2. Step 2: Convert to fraction form
    706,212.75/974,532.21 = 383,920.03/x
  3. Step 3: Cross multiply
    706,212.75x = 974,532.21 × 383,920.03
  4. Step 4: Simplify right side
    706,212.75x = 374,142,434,496.31
  5. Step 5: Solve for x
    x = 374,142,434,496.31/706,212.75
  6. Step 6: Final answer
    x = 529,787.14

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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.