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Finding the Fourth Proportional to 546,375.20, 753,979.14 and 301,369.66

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Solution

The fourth proportional to 546,375.20, 753,979.14 and 301,369.66 is: 415,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,375.20 : 753,979.14 = 301,369.66 : x
  2. Step 2: Convert to fraction form
    546,375.20/753,979.14 = 301,369.66/x
  3. Step 3: Cross multiply
    546,375.20x = 753,979.14 × 301,369.66
  4. Step 4: Simplify right side
    546,375.20x = 227,226,437,068.89
  5. Step 5: Solve for x
    x = 227,226,437,068.89/546,375.20
  6. Step 6: Final answer
    x = 415,879.85

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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.