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Finding the Fourth Proportional to 462,780.42, 694,257.53 and 210,078.65

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Solution

The fourth proportional to 462,780.42, 694,257.53 and 210,078.65 is: 315,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,780.42 : 694,257.53 = 210,078.65 : x
  2. Step 2: Convert to fraction form
    462,780.42/694,257.53 = 210,078.65/x
  3. Step 3: Cross multiply
    462,780.42x = 694,257.53 × 210,078.65
  4. Step 4: Simplify right side
    462,780.42x = 145,848,680,658.25
  5. Step 5: Solve for x
    x = 145,848,680,658.25/462,780.42
  6. Step 6: Final answer
    x = 315,157.41

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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.