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Finding the Fourth Proportional to 400,218.30, 600,417 and 210,767.85

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Solution

The fourth proportional to 400,218.30, 600,417 and 210,767.85 is: 316,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,218.30 : 600,417 = 210,767.85 : x
  2. Step 2: Convert to fraction form
    400,218.30/600,417 = 210,767.85/x
  3. Step 3: Cross multiply
    400,218.30x = 600,417 × 210,767.85
  4. Step 4: Simplify right side
    400,218.30x = 126,548,600,193.45
  5. Step 5: Solve for x
    x = 126,548,600,193.45/400,218.30
  6. Step 6: Final answer
    x = 316,198.93

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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.