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Finding the Fourth Proportional to 829,588.80, 1,245,304.80 and 514,401.60

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Solution

The fourth proportional to 829,588.80, 1,245,304.80 and 514,401.60 is: 772,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,588.80 : 1,245,304.80 = 514,401.60 : x
  2. Step 2: Convert to fraction form
    829,588.80/1,245,304.80 = 514,401.60/x
  3. Step 3: Cross multiply
    829,588.80x = 1,245,304.80 × 514,401.60
  4. Step 4: Simplify right side
    829,588.80x = 640,586,781,607.68
  5. Step 5: Solve for x
    x = 640,586,781,607.68/829,588.80
  6. Step 6: Final answer
    x = 772,173.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.