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Finding the Fourth Proportional to 333,311.83, 460,030.20 and 188,161.86

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Solution

The fourth proportional to 333,311.83, 460,030.20 and 188,161.86 is: 259,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,311.83 : 460,030.20 = 188,161.86 : x
  2. Step 2: Convert to fraction form
    333,311.83/460,030.20 = 188,161.86/x
  3. Step 3: Cross multiply
    333,311.83x = 460,030.20 × 188,161.86
  4. Step 4: Simplify right side
    333,311.83x = 86,560,137,408.50
  5. Step 5: Solve for x
    x = 86,560,137,408.50/333,311.83
  6. Step 6: Final answer
    x = 259,697.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.