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Finding the Fourth Proportional to 513,387.44, 708,190.26 and 298,503.74

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Solution

The fourth proportional to 513,387.44, 708,190.26 and 298,503.74 is: 411,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,387.44 : 708,190.26 = 298,503.74 : x
  2. Step 2: Convert to fraction form
    513,387.44/708,190.26 = 298,503.74/x
  3. Step 3: Cross multiply
    513,387.44x = 708,190.26 × 298,503.74
  4. Step 4: Simplify right side
    513,387.44x = 211,397,441,241.57
  5. Step 5: Solve for x
    x = 211,397,441,241.57/513,387.44
  6. Step 6: Final answer
    x = 411,769.80

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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.