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Finding the Fourth Proportional to 706,362.33, 974,792.20 and 384,074.61

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Solution

The fourth proportional to 706,362.33, 974,792.20 and 384,074.61 is: 530,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,362.33 : 974,792.20 = 384,074.61 : x
  2. Step 2: Convert to fraction form
    706,362.33/974,792.20 = 384,074.61/x
  3. Step 3: Cross multiply
    706,362.33x = 974,792.20 × 384,074.61
  4. Step 4: Simplify right side
    706,362.33x = 374,392,934,046.04
  5. Step 5: Solve for x
    x = 374,392,934,046.04/706,362.33
  6. Step 6: Final answer
    x = 530,029.59

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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.