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Finding the Fourth Proportional to 541,214.08, 746,912.80 and 299,506.88

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Solution

The fourth proportional to 541,214.08, 746,912.80 and 299,506.88 is: 413,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,214.08 : 746,912.80 = 299,506.88 : x
  2. Step 2: Convert to fraction form
    541,214.08/746,912.80 = 299,506.88/x
  3. Step 3: Cross multiply
    541,214.08x = 746,912.80 × 299,506.88
  4. Step 4: Simplify right side
    541,214.08x = 223,705,522,360.06
  5. Step 5: Solve for x
    x = 223,705,522,360.06/541,214.08
  6. Step 6: Final answer
    x = 413,340.17

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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.