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Finding the Fourth Proportional to 397,156.63, 548,079.84 and 215,869

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Solution

The fourth proportional to 397,156.63, 548,079.84 and 215,869 is: 297,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,156.63 : 548,079.84 = 215,869 : x
  2. Step 2: Convert to fraction form
    397,156.63/548,079.84 = 215,869/x
  3. Step 3: Cross multiply
    397,156.63x = 548,079.84 × 215,869
  4. Step 4: Simplify right side
    397,156.63x = 118,313,446,980.96
  5. Step 5: Solve for x
    x = 118,313,446,980.96/397,156.63
  6. Step 6: Final answer
    x = 297,901.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.