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Finding the Fourth Proportional to 513,672.46, 708,927.87 and 298,821.58

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Solution

The fourth proportional to 513,672.46, 708,927.87 and 298,821.58 is: 412,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,672.46 : 708,927.87 = 298,821.58 : x
  2. Step 2: Convert to fraction form
    513,672.46/708,927.87 = 298,821.58/x
  3. Step 3: Cross multiply
    513,672.46x = 708,927.87 × 298,821.58
  4. Step 4: Simplify right side
    513,672.46x = 211,842,946,219.44
  5. Step 5: Solve for x
    x = 211,842,946,219.44/513,672.46
  6. Step 6: Final answer
    x = 412,408.61

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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.