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Finding the Fourth Proportional to 476,517.44, 714,828 and 176,962.88

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Solution

The fourth proportional to 476,517.44, 714,828 and 176,962.88 is: 265,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,517.44 : 714,828 = 176,962.88 : x
  2. Step 2: Convert to fraction form
    476,517.44/714,828 = 176,962.88/x
  3. Step 3: Cross multiply
    476,517.44x = 714,828 × 176,962.88
  4. Step 4: Simplify right side
    476,517.44x = 126,498,021,584.64
  5. Step 5: Solve for x
    x = 126,498,021,584.64/476,517.44
  6. Step 6: Final answer
    x = 265,463.57

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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.