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Finding the Fourth Proportional to 263,397.56, 363,465.70 and 154,523.84

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Solution

The fourth proportional to 263,397.56, 363,465.70 and 154,523.84 is: 213,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,397.56 : 363,465.70 = 154,523.84 : x
  2. Step 2: Convert to fraction form
    263,397.56/363,465.70 = 154,523.84/x
  3. Step 3: Cross multiply
    263,397.56x = 363,465.70 × 154,523.84
  4. Step 4: Simplify right side
    263,397.56x = 56,164,113,468.65
  5. Step 5: Solve for x
    x = 56,164,113,468.65/263,397.56
  6. Step 6: Final answer
    x = 213,229.44

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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.