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Finding the Fourth Proportional to 513,132.50, 708,235.26 and 298,396.44

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Solution

The fourth proportional to 513,132.50, 708,235.26 and 298,396.44 is: 411,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,132.50 : 708,235.26 = 298,396.44 : x
  2. Step 2: Convert to fraction form
    513,132.50/708,235.26 = 298,396.44/x
  3. Step 3: Cross multiply
    513,132.50x = 708,235.26 × 298,396.44
  4. Step 4: Simplify right side
    513,132.50x = 211,334,880,825.97
  5. Step 5: Solve for x
    x = 211,334,880,825.97/513,132.50
  6. Step 6: Final answer
    x = 411,852.45

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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.