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Finding the Fourth Proportional to 476,078.80, 714,241.22 and 176,644.79

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Solution

The fourth proportional to 476,078.80, 714,241.22 and 176,644.79 is: 265,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,078.80 : 714,241.22 = 176,644.79 : x
  2. Step 2: Convert to fraction form
    476,078.80/714,241.22 = 176,644.79/x
  3. Step 3: Cross multiply
    476,078.80x = 714,241.22 × 176,644.79
  4. Step 4: Simplify right side
    476,078.80x = 126,166,990,316.24
  5. Step 5: Solve for x
    x = 126,166,990,316.24/476,078.80
  6. Step 6: Final answer
    x = 265,012.83

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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.