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Finding the Fourth Proportional to 314,725.78, 471,752.51 and 179,498.71

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Solution

The fourth proportional to 314,725.78, 471,752.51 and 179,498.71 is: 269,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,725.78 : 471,752.51 = 179,498.71 : x
  2. Step 2: Convert to fraction form
    314,725.78/471,752.51 = 179,498.71/x
  3. Step 3: Cross multiply
    314,725.78x = 471,752.51 × 179,498.71
  4. Step 4: Simplify right side
    314,725.78x = 84,678,964,022.85
  5. Step 5: Solve for x
    x = 84,678,964,022.85/314,725.78
  6. Step 6: Final answer
    x = 269,056.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.