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Finding the Fourth Proportional to 543,200.70, 814,801.05 and 342,434.10

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Solution

The fourth proportional to 543,200.70, 814,801.05 and 342,434.10 is: 513,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,200.70 : 814,801.05 = 342,434.10 : x
  2. Step 2: Convert to fraction form
    543,200.70/814,801.05 = 342,434.10/x
  3. Step 3: Cross multiply
    543,200.70x = 814,801.05 × 342,434.10
  4. Step 4: Simplify right side
    543,200.70x = 279,015,664,235.81
  5. Step 5: Solve for x
    x = 279,015,664,235.81/543,200.70
  6. Step 6: Final answer
    x = 513,651.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.