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Finding the Fourth Proportional to 376,024, 518,913.12 and 206,258.52

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Solution

The fourth proportional to 376,024, 518,913.12 and 206,258.52 is: 284,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,024 : 518,913.12 = 206,258.52 : x
  2. Step 2: Convert to fraction form
    376,024/518,913.12 = 206,258.52/x
  3. Step 3: Cross multiply
    376,024x = 518,913.12 × 206,258.52
  4. Step 4: Simplify right side
    376,024x = 107,030,252,139.78
  5. Step 5: Solve for x
    x = 107,030,252,139.78/376,024
  6. Step 6: Final answer
    x = 284,636.76

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