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Finding the Fourth Proportional to 297,289, 410,258.82 and 178,057

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Solution

The fourth proportional to 297,289, 410,258.82 and 178,057 is: 245,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,289 : 410,258.82 = 178,057 : x
  2. Step 2: Convert to fraction form
    297,289/410,258.82 = 178,057/x
  3. Step 3: Cross multiply
    297,289x = 410,258.82 × 178,057
  4. Step 4: Simplify right side
    297,289x = 73,049,454,712.74
  5. Step 5: Solve for x
    x = 73,049,454,712.74/297,289
  6. Step 6: Final answer
    x = 245,718.66

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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.