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Finding the Fourth Proportional to 464,054.28, 696,212.10 and 179,830.68

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Solution

The fourth proportional to 464,054.28, 696,212.10 and 179,830.68 is: 269,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,054.28 : 696,212.10 = 179,830.68 : x
  2. Step 2: Convert to fraction form
    464,054.28/696,212.10 = 179,830.68/x
  3. Step 3: Cross multiply
    464,054.28x = 696,212.10 × 179,830.68
  4. Step 4: Simplify right side
    464,054.28x = 125,200,295,367.23
  5. Step 5: Solve for x
    x = 125,200,295,367.23/464,054.28
  6. Step 6: Final answer
    x = 269,796.66

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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.