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Finding the Fourth Proportional to 333,833.10, 500,815.34 and 123,472.86

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Solution

The fourth proportional to 333,833.10, 500,815.34 and 123,472.86 is: 185,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,833.10 : 500,815.34 = 123,472.86 : x
  2. Step 2: Convert to fraction form
    333,833.10/500,815.34 = 123,472.86/x
  3. Step 3: Cross multiply
    333,833.10x = 500,815.34 × 123,472.86
  4. Step 4: Simplify right side
    333,833.10x = 61,837,102,361.67
  5. Step 5: Solve for x
    x = 61,837,102,361.67/333,833.10
  6. Step 6: Final answer
    x = 185,233.59

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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.