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Finding the Fourth Proportional to 374,653.52, 517,025.94 and 204,884

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Solution

The fourth proportional to 374,653.52, 517,025.94 and 204,884 is: 282,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,653.52 : 517,025.94 = 204,884 : x
  2. Step 2: Convert to fraction form
    374,653.52/517,025.94 = 204,884/x
  3. Step 3: Cross multiply
    374,653.52x = 517,025.94 × 204,884
  4. Step 4: Simplify right side
    374,653.52x = 105,930,342,690.96
  5. Step 5: Solve for x
    x = 105,930,342,690.96/374,653.52
  6. Step 6: Final answer
    x = 282,742.15

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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.