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Finding the Fourth Proportional to 474,850.38, 712,269.81 and 142,423.50

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Solution

The fourth proportional to 474,850.38, 712,269.81 and 142,423.50 is: 213,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,850.38 : 712,269.81 = 142,423.50 : x
  2. Step 2: Convert to fraction form
    474,850.38/712,269.81 = 142,423.50/x
  3. Step 3: Cross multiply
    474,850.38x = 712,269.81 × 142,423.50
  4. Step 4: Simplify right side
    474,850.38x = 101,443,959,284.54
  5. Step 5: Solve for x
    x = 101,443,959,284.54/474,850.38
  6. Step 6: Final answer
    x = 213,633.52

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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.