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Finding the Fourth Proportional to 475,605.54, 714,119.90 and 411,761.12

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Solution

The fourth proportional to 475,605.54, 714,119.90 and 411,761.12 is: 618,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,605.54 : 714,119.90 = 411,761.12 : x
  2. Step 2: Convert to fraction form
    475,605.54/714,119.90 = 411,761.12/x
  3. Step 3: Cross multiply
    475,605.54x = 714,119.90 × 411,761.12
  4. Step 4: Simplify right side
    475,605.54x = 294,046,814,764.02
  5. Step 5: Solve for x
    x = 294,046,814,764.02/475,605.54
  6. Step 6: Final answer
    x = 618,257.76

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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.