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Finding the Fourth Proportional to 513,375.46, 708,173.71 and 298,491.77

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Solution

The fourth proportional to 513,375.46, 708,173.71 and 298,491.77 is: 411,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,375.46 : 708,173.71 = 298,491.77 : x
  2. Step 2: Convert to fraction form
    513,375.46/708,173.71 = 298,491.77/x
  3. Step 3: Cross multiply
    513,375.46x = 708,173.71 × 298,491.77
  4. Step 4: Simplify right side
    513,375.46x = 211,384,024,165.37
  5. Step 5: Solve for x
    x = 211,384,024,165.37/513,375.46
  6. Step 6: Final answer
    x = 411,753.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.