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Finding the Fourth Proportional to 546,783.20, 820,174.80 and 481,829.30

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Solution

The fourth proportional to 546,783.20, 820,174.80 and 481,829.30 is: 722,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,783.20 : 820,174.80 = 481,829.30 : x
  2. Step 2: Convert to fraction form
    546,783.20/820,174.80 = 481,829.30/x
  3. Step 3: Cross multiply
    546,783.20x = 820,174.80 × 481,829.30
  4. Step 4: Simplify right side
    546,783.20x = 395,184,249,761.64
  5. Step 5: Solve for x
    x = 395,184,249,761.64/546,783.20
  6. Step 6: Final answer
    x = 722,743.95

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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.