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Finding the Fourth Proportional to 394,768.80, 592,153.20 and 362,109.60

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Solution

The fourth proportional to 394,768.80, 592,153.20 and 362,109.60 is: 543,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,768.80 : 592,153.20 = 362,109.60 : x
  2. Step 2: Convert to fraction form
    394,768.80/592,153.20 = 362,109.60/x
  3. Step 3: Cross multiply
    394,768.80x = 592,153.20 × 362,109.60
  4. Step 4: Simplify right side
    394,768.80x = 214,424,358,390.72
  5. Step 5: Solve for x
    x = 214,424,358,390.72/394,768.80
  6. Step 6: Final answer
    x = 543,164.40

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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.