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Finding the Fourth Proportional to 712,152, 982,769.76 and 394,200

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Solution

The fourth proportional to 712,152, 982,769.76 and 394,200 is: 543,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,152 : 982,769.76 = 394,200 : x
  2. Step 2: Convert to fraction form
    712,152/982,769.76 = 394,200/x
  3. Step 3: Cross multiply
    712,152x = 982,769.76 × 394,200
  4. Step 4: Simplify right side
    712,152x = 387,407,839,392
  5. Step 5: Solve for x
    x = 387,407,839,392/712,152
  6. Step 6: Final answer
    x = 543,996

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