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Finding the Fourth Proportional to 530,115.42, 795,169.39 and 214,567.77

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Solution

The fourth proportional to 530,115.42, 795,169.39 and 214,567.77 is: 321,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,115.42 : 795,169.39 = 214,567.77 : x
  2. Step 2: Convert to fraction form
    530,115.42/795,169.39 = 214,567.77/x
  3. Step 3: Cross multiply
    530,115.42x = 795,169.39 × 214,567.77
  4. Step 4: Simplify right side
    530,115.42x = 170,617,722,784.56
  5. Step 5: Solve for x
    x = 170,617,722,784.56/530,115.42
  6. Step 6: Final answer
    x = 321,850.14

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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.