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Finding the Fourth Proportional to 476,503.83, 714,201.87 and 176,793.24

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Solution

The fourth proportional to 476,503.83, 714,201.87 and 176,793.24 is: 264,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,503.83 : 714,201.87 = 176,793.24 : x
  2. Step 2: Convert to fraction form
    476,503.83/714,201.87 = 176,793.24/x
  3. Step 3: Cross multiply
    476,503.83x = 714,201.87 × 176,793.24
  4. Step 4: Simplify right side
    476,503.83x = 126,266,062,611.36
  5. Step 5: Solve for x
    x = 126,266,062,611.36/476,503.83
  6. Step 6: Final answer
    x = 264,984.36

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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.