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Finding the Fourth Proportional to 314,794.17, 434,372.14 and 176,953.61

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Solution

The fourth proportional to 314,794.17, 434,372.14 and 176,953.61 is: 244,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,794.17 : 434,372.14 = 176,953.61 : x
  2. Step 2: Convert to fraction form
    314,794.17/434,372.14 = 176,953.61/x
  3. Step 3: Cross multiply
    314,794.17x = 434,372.14 × 176,953.61
  4. Step 4: Simplify right side
    314,794.17x = 76,863,718,899.97
  5. Step 5: Solve for x
    x = 76,863,718,899.97/314,794.17
  6. Step 6: Final answer
    x = 244,171.35

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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.