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Finding the Fourth Proportional to 513,365.80, 708,408.84 and 298,490.62

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Solution

The fourth proportional to 513,365.80, 708,408.84 and 298,490.62 is: 411,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,365.80 : 708,408.84 = 298,490.62 : x
  2. Step 2: Convert to fraction form
    513,365.80/708,408.84 = 298,490.62/x
  3. Step 3: Cross multiply
    513,365.80x = 708,408.84 × 298,490.62
  4. Step 4: Simplify right side
    513,365.80x = 211,453,393,865.08
  5. Step 5: Solve for x
    x = 211,453,393,865.08/513,365.80
  6. Step 6: Final answer
    x = 411,896.14

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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.