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Finding the Fourth Proportional to 546,180.38, 753,420.21 and 341,876.64

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Solution

The fourth proportional to 546,180.38, 753,420.21 and 341,876.64 is: 471,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,180.38 : 753,420.21 = 341,876.64 : x
  2. Step 2: Convert to fraction form
    546,180.38/753,420.21 = 341,876.64/x
  3. Step 3: Cross multiply
    546,180.38x = 753,420.21 × 341,876.64
  4. Step 4: Simplify right side
    546,180.38x = 257,576,769,902.89
  5. Step 5: Solve for x
    x = 257,576,769,902.89/546,180.38
  6. Step 6: Final answer
    x = 471,596.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.