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Finding the Fourth Proportional to 373,105.85, 514,887.84 and 211,969.74

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Solution

The fourth proportional to 373,105.85, 514,887.84 and 211,969.74 is: 292,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,105.85 : 514,887.84 = 211,969.74 : x
  2. Step 2: Convert to fraction form
    373,105.85/514,887.84 = 211,969.74/x
  3. Step 3: Cross multiply
    373,105.85x = 514,887.84 × 211,969.74
  4. Step 4: Simplify right side
    373,105.85x = 109,140,639,160.43
  5. Step 5: Solve for x
    x = 109,140,639,160.43/373,105.85
  6. Step 6: Final answer
    x = 292,519.24

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Why These Related Problems?

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