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Finding the Fourth Proportional to 546,821.10, 820,231.65 and 307,672.65

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Solution

The fourth proportional to 546,821.10, 820,231.65 and 307,672.65 is: 461,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,821.10 : 820,231.65 = 307,672.65 : x
  2. Step 2: Convert to fraction form
    546,821.10/820,231.65 = 307,672.65/x
  3. Step 3: Cross multiply
    546,821.10x = 820,231.65 × 307,672.65
  4. Step 4: Simplify right side
    546,821.10x = 252,362,845,369.37
  5. Step 5: Solve for x
    x = 252,362,845,369.37/546,821.10
  6. Step 6: Final answer
    x = 461,508.98

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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.