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Finding the Fourth Proportional to 379,798.44, 524,100.52 and 207,682.16

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Solution

The fourth proportional to 379,798.44, 524,100.52 and 207,682.16 is: 286,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,798.44 : 524,100.52 = 207,682.16 : x
  2. Step 2: Convert to fraction form
    379,798.44/524,100.52 = 207,682.16/x
  3. Step 3: Cross multiply
    379,798.44x = 524,100.52 × 207,682.16
  4. Step 4: Simplify right side
    379,798.44x = 108,846,328,050.72
  5. Step 5: Solve for x
    x = 108,846,328,050.72/379,798.44
  6. Step 6: Final answer
    x = 286,589.72

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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.