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Finding the Fourth Proportional to 524,245.10, 786,520.75 and 208,748.48

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Solution

The fourth proportional to 524,245.10, 786,520.75 and 208,748.48 is: 313,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,245.10 : 786,520.75 = 208,748.48 : x
  2. Step 2: Convert to fraction form
    524,245.10/786,520.75 = 208,748.48/x
  3. Step 3: Cross multiply
    524,245.10x = 786,520.75 × 208,748.48
  4. Step 4: Simplify right side
    524,245.10x = 164,185,012,743.50
  5. Step 5: Solve for x
    x = 164,185,012,743.50/524,245.10
  6. Step 6: Final answer
    x = 313,183.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.