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Finding the Fourth Proportional to 322,558.80, 484,094.12 and 172,909.68

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Solution

The fourth proportional to 322,558.80, 484,094.12 and 172,909.68 is: 259,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,558.80 : 484,094.12 = 172,909.68 : x
  2. Step 2: Convert to fraction form
    322,558.80/484,094.12 = 172,909.68/x
  3. Step 3: Cross multiply
    322,558.80x = 484,094.12 × 172,909.68
  4. Step 4: Simplify right side
    322,558.80x = 83,704,559,379.08
  5. Step 5: Solve for x
    x = 83,704,559,379.08/322,558.80
  6. Step 6: Final answer
    x = 259,501.71

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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.