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Finding the Fourth Proportional to 374,636.52, 517,002.48 and 204,867

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Solution

The fourth proportional to 374,636.52, 517,002.48 and 204,867 is: 282,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,636.52 : 517,002.48 = 204,867 : x
  2. Step 2: Convert to fraction form
    374,636.52/517,002.48 = 204,867/x
  3. Step 3: Cross multiply
    374,636.52x = 517,002.48 × 204,867
  4. Step 4: Simplify right side
    374,636.52x = 105,916,747,070.16
  5. Step 5: Solve for x
    x = 105,916,747,070.16/374,636.52
  6. Step 6: Final answer
    x = 282,718.69

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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.