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Finding the Fourth Proportional to 363,902.10, 545,853.15 and 264,758.10

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Solution

The fourth proportional to 363,902.10, 545,853.15 and 264,758.10 is: 397,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,902.10 : 545,853.15 = 264,758.10 : x
  2. Step 2: Convert to fraction form
    363,902.10/545,853.15 = 264,758.10/x
  3. Step 3: Cross multiply
    363,902.10x = 545,853.15 × 264,758.10
  4. Step 4: Simplify right side
    363,902.10x = 144,519,042,873.02
  5. Step 5: Solve for x
    x = 144,519,042,873.02/363,902.10
  6. Step 6: Final answer
    x = 397,137.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.