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Finding the Fourth Proportional to 361,437.84, 498,797.10 and 218,169.90

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Solution

The fourth proportional to 361,437.84, 498,797.10 and 218,169.90 is: 301,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,437.84 : 498,797.10 = 218,169.90 : x
  2. Step 2: Convert to fraction form
    361,437.84/498,797.10 = 218,169.90/x
  3. Step 3: Cross multiply
    361,437.84x = 498,797.10 × 218,169.90
  4. Step 4: Simplify right side
    361,437.84x = 108,822,513,427.29
  5. Step 5: Solve for x
    x = 108,822,513,427.29/361,437.84
  6. Step 6: Final answer
    x = 301,082.24

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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.