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Finding the Fourth Proportional to 472,924.86, 709,379.82 and 220,063.92

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Solution

The fourth proportional to 472,924.86, 709,379.82 and 220,063.92 is: 330,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,924.86 : 709,379.82 = 220,063.92 : x
  2. Step 2: Convert to fraction form
    472,924.86/709,379.82 = 220,063.92/x
  3. Step 3: Cross multiply
    472,924.86x = 709,379.82 × 220,063.92
  4. Step 4: Simplify right side
    472,924.86x = 156,108,903,958.09
  5. Step 5: Solve for x
    x = 156,108,903,958.09/472,924.86
  6. Step 6: Final answer
    x = 330,092.40

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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.