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Finding the Fourth Proportional to 353,793.24, 530,907.42 and 140,523.84

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Solution

The fourth proportional to 353,793.24, 530,907.42 and 140,523.84 is: 210,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,793.24 : 530,907.42 = 140,523.84 : x
  2. Step 2: Convert to fraction form
    353,793.24/530,907.42 = 140,523.84/x
  3. Step 3: Cross multiply
    353,793.24x = 530,907.42 × 140,523.84
  4. Step 4: Simplify right side
    353,793.24x = 74,605,149,342.89
  5. Step 5: Solve for x
    x = 74,605,149,342.89/353,793.24
  6. Step 6: Final answer
    x = 210,872.17

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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.