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Finding the Fourth Proportional to 712,162.50, 982,784.25 and 394,210.50

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Solution

The fourth proportional to 712,162.50, 982,784.25 and 394,210.50 is: 544,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,162.50 : 982,784.25 = 394,210.50 : x
  2. Step 2: Convert to fraction form
    712,162.50/982,784.25 = 394,210.50/x
  3. Step 3: Cross multiply
    712,162.50x = 982,784.25 × 394,210.50
  4. Step 4: Simplify right side
    712,162.50x = 387,423,870,584.63
  5. Step 5: Solve for x
    x = 387,423,870,584.63/712,162.50
  6. Step 6: Final answer
    x = 544,010.49

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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.