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Finding the Fourth Proportional to 362,076.10, 543,114.15 and 229,543.90

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Solution

The fourth proportional to 362,076.10, 543,114.15 and 229,543.90 is: 344,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,076.10 : 543,114.15 = 229,543.90 : x
  2. Step 2: Convert to fraction form
    362,076.10/543,114.15 = 229,543.90/x
  3. Step 3: Cross multiply
    362,076.10x = 543,114.15 × 229,543.90
  4. Step 4: Simplify right side
    362,076.10x = 124,668,540,136.19
  5. Step 5: Solve for x
    x = 124,668,540,136.19/362,076.10
  6. Step 6: Final answer
    x = 344,315.85

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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.