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Finding the Fourth Proportional to 364,062.30, 546,093.45 and 331,403.10

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Solution

The fourth proportional to 364,062.30, 546,093.45 and 331,403.10 is: 497,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,062.30 : 546,093.45 = 331,403.10 : x
  2. Step 2: Convert to fraction form
    364,062.30/546,093.45 = 331,403.10/x
  3. Step 3: Cross multiply
    364,062.30x = 546,093.45 × 331,403.10
  4. Step 4: Simplify right side
    364,062.30x = 180,977,062,219.70
  5. Step 5: Solve for x
    x = 180,977,062,219.70/364,062.30
  6. Step 6: Final answer
    x = 497,104.65

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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.