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Finding the Fourth Proportional to 464,242.74, 696,304.77 and 179,738.64

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Solution

The fourth proportional to 464,242.74, 696,304.77 and 179,738.64 is: 269,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,242.74 : 696,304.77 = 179,738.64 : x
  2. Step 2: Convert to fraction form
    464,242.74/696,304.77 = 179,738.64/x
  3. Step 3: Cross multiply
    464,242.74x = 696,304.77 × 179,738.64
  4. Step 4: Simplify right side
    464,242.74x = 125,152,872,385.31
  5. Step 5: Solve for x
    x = 125,152,872,385.31/464,242.74
  6. Step 6: Final answer
    x = 269,584.99

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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.