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Finding the Fourth Proportional to 364,032.10, 546,048.15 and 231,499.90

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Solution

The fourth proportional to 364,032.10, 546,048.15 and 231,499.90 is: 347,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,032.10 : 546,048.15 = 231,499.90 : x
  2. Step 2: Convert to fraction form
    364,032.10/546,048.15 = 231,499.90/x
  3. Step 3: Cross multiply
    364,032.10x = 546,048.15 × 231,499.90
  4. Step 4: Simplify right side
    364,032.10x = 126,410,092,120.19
  5. Step 5: Solve for x
    x = 126,410,092,120.19/364,032.10
  6. Step 6: Final answer
    x = 347,249.85

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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.