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Finding the Fourth Proportional to 331,298.24, 457,074.96 and 216,643.94

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Solution

The fourth proportional to 331,298.24, 457,074.96 and 216,643.94 is: 298,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,298.24 : 457,074.96 = 216,643.94 : x
  2. Step 2: Convert to fraction form
    331,298.24/457,074.96 = 216,643.94/x
  3. Step 3: Cross multiply
    331,298.24x = 457,074.96 × 216,643.94
  4. Step 4: Simplify right side
    331,298.24x = 99,022,520,209.74
  5. Step 5: Solve for x
    x = 99,022,520,209.74/331,298.24
  6. Step 6: Final answer
    x = 298,892.38

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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.