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Finding the Fourth Proportional to 364,076.10, 546,114.15 and 231,543.90

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Solution

The fourth proportional to 364,076.10, 546,114.15 and 231,543.90 is: 347,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,076.10 : 546,114.15 = 231,543.90 : x
  2. Step 2: Convert to fraction form
    364,076.10/546,114.15 = 231,543.90/x
  3. Step 3: Cross multiply
    364,076.10x = 546,114.15 × 231,543.90
  4. Step 4: Simplify right side
    364,076.10x = 126,449,400,136.19
  5. Step 5: Solve for x
    x = 126,449,400,136.19/364,076.10
  6. Step 6: Final answer
    x = 347,315.85

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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.